93:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000 Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para la demostración :@0.740294:0.184743:0.881789:0.184743:0.881789:0.169803:0.740294:0.169803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 geométrica de :@0.740294:0.199872:0.840690:0.199872:0.840690:0.184932:0.740294:0.184932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( )( ) , :@0.740294:0.215001:0.903124:0.215001:0.903124:0.200061:0.740294:0.200061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.744661:0.215001:0.751438:0.215001:0.751438:0.200087:0.744661:0.200087:0.000000 1:@0.754969:0.214497:0.768909:0.214497:0.768909:0.202028:0.754969:0.202028:0.000000 a x:@0.772423:0.215001:0.796269:0.215001:0.796269:0.200087:0.772423:0.200087:0.000000:0.000000:0.000000 2:@0.799799:0.214497:0.813739:0.214497:0.813739:0.202028:0.799799:0.202028:0.000000 a:@0.817253:0.215001:0.825670:0.215001:0.825670:0.200087:0.817253:0.200087:0.000000 5:@0.833552:0.214497:0.847491:0.214497:0.847491:0.202028:0.833552:0.202028:0.000000 x:@0.851005:0.215001:0.857782:0.215001:0.857782:0.200087:0.851005:0.200087:0.000000 2:@0.857717:0.209489:0.862478:0.209489:0.862478:0.200779:0.857717:0.200779:0.000000 2:@0.866034:0.214497:0.879973:0.214497:0.879973:0.202028:0.866034:0.202028:0.000000 a:@0.883487:0.215001:0.891904:0.215001:0.891904:0.200087:0.883487:0.200087:0.000000 2:@0.891831:0.209489:0.896591:0.209489:0.896591:0.200779:0.891831:0.200779:0.000000 construimos un rectángulo :@0.740287:0.230130:0.923125:0.230130:0.923125:0.215190:0.740287:0.215190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de medidas ( ) y :@0.740287:0.245259:0.884349:0.245259:0.884349:0.230319:0.740287:0.230319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.825747:0.245259:0.832524:0.245259:0.832524:0.230344:0.825747:0.230344:0.000000 1:@0.836055:0.244755:0.849994:0.244755:0.849994:0.232286:0.836055:0.232286:0.000000 a:@0.853508:0.245259:0.861926:0.245259:0.861926:0.230344:0.853508:0.230344:0.000000 ( ). Luego, trazamos :@0.740270:0.260388:0.903665:0.260388:0.903665:0.245448:0.740270:0.245448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.744638:0.260388:0.751415:0.260388:0.751415:0.245473:0.744638:0.245473:0.000000 2:@0.754946:0.259884:0.768885:0.259884:0.768885:0.247415:0.754946:0.247415:0.000000 a:@0.772399:0.260388:0.780816:0.260388:0.780816:0.245473:0.772399:0.245473:0.000000 una recta, de manera que :@0.740270:0.275517:0.912900:0.275517:0.912900:0.260577:0.740270:0.260577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 obtenemos dos trapecios.:@0.740270:0.290646:0.911444:0.290646:0.911444:0.275706:0.740270:0.275706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.803144:0.311031:0.810599:0.311031:0.810599:0.294625:0.803144:0.294625:0.000000 x:@0.870975:0.336396:0.878430:0.336396:0.878430:0.319990:0.870975:0.319990:0.000000 a:@0.878356:0.336396:0.909870:0.336396:0.909870:0.319962:0.878356:0.319962:0.000000:0.000000:0.000000:0.000000 2:@0.882314:0.335841:0.897647:0.335841:0.897647:0.322125:0.882314:0.322125:0.000000 x:@0.740284:0.336035:0.747739:0.336035:0.747739:0.319629:0.740284:0.319629:0.000000 :@0.747665:0.336035:0.770895:0.336035:0.770895:0.319601:0.747665:0.319601:0.000000:0.000000:0.000000 2:@0.751623:0.335480:0.766956:0.335480:0.766956:0.321765:0.751623:0.321765:0.000000 a:@0.770821:0.336035:0.780080:0.336035:0.780080:0.319629:0.770821:0.319629:0.000000 x:@0.831823:0.358918:0.839278:0.358918:0.839278:0.342512:0.831823:0.342512:0.000000 a:@0.851997:0.311391:0.861256:0.311391:0.861256:0.294985:0.851997:0.294985:0.000000 a:@0.787149:0.358918:0.796407:0.358918:0.796407:0.342512:0.787149:0.342512:0.000000 :@0.909863:0.358605:0.913528:0.358605:0.913528:0.343665:0.909863:0.343665:0.000000 Separamos los trapecios. :@0.740299:0.380882:0.906503:0.380882:0.906503:0.365943:0.740299:0.365943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Giramos el primero a la :@0.740299:0.396011:0.896121:0.396011:0.896121:0.381072:0.740299:0.381072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 izquierda y luego hacia :@0.740299:0.411140:0.895643:0.411140:0.895643:0.396200:0.740299:0.396200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 abajo, de modo que al :@0.740299:0.426269:0.891852:0.426269:0.891852:0.411329:0.740299:0.411329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 unirlo al segundo trapecio, :@0.740299:0.441398:0.920076:0.441398:0.920076:0.426458:0.740299:0.426458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 obtengamos la siguiente :@0.740299:0.456527:0.908293:0.456527:0.908293:0.441587:0.740299:0.441587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 construcción::@0.740299:0.471656:0.829273:0.471656:0.829273:0.456716:0.740299:0.456716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.866420:0.546414:0.873875:0.546414:0.873875:0.530008:0.866420:0.530008:0.000000 a:@0.873802:0.546414:0.905315:0.546414:0.905315:0.529981:0.873802:0.529981:0.000000:0.000000:0.000000:0.000000 2:@0.877759:0.545860:0.893092:0.545860:0.893092:0.532144:0.877759:0.532144:0.000000 x:@0.788631:0.492037:0.796086:0.492037:0.796086:0.475631:0.788631:0.475631:0.000000 a:@0.796012:0.492037:0.827526:0.492037:0.827526:0.475603:0.796012:0.475603:0.000000:0.000000:0.000000:0.000000 2:@0.799970:0.491483:0.815303:0.491483:0.815303:0.477767:0.799970:0.477767:0.000000 x:@0.755682:0.535916:0.763137:0.535916:0.763137:0.519510:0.755682:0.519510:0.000000 x:@0.815911:0.573957:0.823366:0.573957:0.823366:0.557551:0.815911:0.557551:0.000000 a:@0.843061:0.516334:0.852320:0.516334:0.852320:0.499928:0.843061:0.499928:0.000000 a:@0.821267:0.512229:0.830526:0.512229:0.830526:0.495823:0.821267:0.495823:0.000000 Aquí observamos un :@0.740294:0.595923:0.878167:0.595923:0.878167:0.580983:0.740294:0.580983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuadrado de lado , al que :@0.740294:0.611052:0.913171:0.611052:0.913171:0.596112:0.740294:0.596112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.857146:0.611052:0.863924:0.611052:0.863924:0.596137:0.857146:0.596137:0.000000 le falta un cuadrado de lado :@0.740277:0.626181:0.923715:0.626181:0.923715:0.611241:0.740277:0.611241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.740277:0.641309:0.748694:0.641309:0.748694:0.626395:0.740277:0.626395:0.000000 . Es decir, tenemos que: :@0.748460:0.641309:0.901575:0.641309:0.901575:0.626370:0.748460:0.626370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( )( ) :@0.740277:0.656438:0.880109:0.656438:0.880109:0.641499:0.740277:0.641499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.744477:0.656438:0.751254:0.656438:0.751254:0.641524:0.744477:0.641524:0.000000 1:@0.754451:0.655934:0.768390:0.655934:0.768390:0.643465:0.754451:0.643465:0.000000 a x:@0.771569:0.656438:0.794913:0.656438:0.794913:0.641524:0.771569:0.641524:0.000000:0.000000:0.000000 2:@0.798109:0.655934:0.812049:0.655934:0.812049:0.643465:0.798109:0.643465:0.000000 a:@0.815228:0.656438:0.823645:0.656438:0.823645:0.641524:0.815228:0.641524:0.000000 5:@0.831025:0.655934:0.844964:0.655934:0.844964:0.643465:0.831025:0.643465:0.000000 x:@0.848144:0.656438:0.854921:0.656438:0.854921:0.641524:0.848144:0.641524:0.000000 2:@0.854705:0.650926:0.859466:0.650926:0.859466:0.642216:0.854705:0.642216:0.000000 2:@0.862756:0.655934:0.876695:0.655934:0.876695:0.643465:0.862756:0.643465:0.000000 a:@0.879874:0.656438:0.888291:0.656438:0.888291:0.641524:0.879874:0.641524:0.000000 2:@0.888050:0.650926:0.892811:0.650926:0.892811:0.642216:0.888050:0.642216:0.000000 Competencia :@0.740294:0.145303:0.848854:0.145303:0.848854:0.128356:0.740294:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.740294:0.161945:0.837769:0.161945:0.837769:0.144998:0.740294:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Generalizando, tenemos que::@0.073089:0.136836:0.285284:0.136836:0.285284:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) 2 :@0.073089:0.164199:0.240592:0.164199:0.240592:0.147766:0.073089:0.147766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.077893:0.164199:0.087152:0.164199:0.087152:0.147793:0.077893:0.147793:0.000000 1:@0.091036:0.163645:0.106369:0.163645:0.106369:0.149929:0.091036:0.149929:0.000000 b:@0.110235:0.164199:0.119494:0.164199:0.119494:0.147793:0.110235:0.147793:0.000000 2:@0.124211:0.158135:0.129448:0.158135:0.129448:0.148555:0.124211:0.148555:0.000000 5:@0.133358:0.163645:0.148692:0.163645:0.148692:0.149929:0.133358:0.149929:0.000000 a:@0.152557:0.164199:0.161816:0.164199:0.161816:0.147793:0.152557:0.147793:0.000000 2:@0.161735:0.158135:0.166972:0.158135:0.166972:0.148555:0.161735:0.148555:0.000000 1:@0.170884:0.163645:0.186217:0.163645:0.186217:0.149929:0.170884:0.149929:0.000000 ab:@0.198973:0.164199:0.217417:0.164199:0.217417:0.147793:0.198973:0.147793:0.000000:0.000000 1:@0.221320:0.163645:0.236653:0.163645:0.236653:0.149929:0.221320:0.149929:0.000000 b:@0.240518:0.164199:0.249777:0.164199:0.249777:0.147793:0.240518:0.147793:0.000000 2:@0.249690:0.158135:0.254927:0.158135:0.254927:0.148555:0.249690:0.148555:0.000000 ( ) 2 :@0.073089:0.191563:0.240592:0.191563:0.240592:0.175129:0.073089:0.175129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.077893:0.191563:0.087152:0.191563:0.087152:0.175157:0.077893:0.175157:0.000000 2:@0.091036:0.191008:0.106369:0.191008:0.106369:0.177292:0.091036:0.177292:0.000000 b:@0.110235:0.191563:0.119494:0.191563:0.119494:0.175157:0.110235:0.175157:0.000000 2:@0.124211:0.185499:0.129448:0.185499:0.129448:0.175918:0.124211:0.175918:0.000000 5:@0.133358:0.191008:0.148692:0.191008:0.148692:0.177292:0.133358:0.177292:0.000000 a:@0.152557:0.191563:0.161816:0.191563:0.161816:0.175157:0.152557:0.175157:0.000000 2:@0.161735:0.185499:0.166972:0.185499:0.166972:0.175918:0.161735:0.175918:0.000000 2:@0.170884:0.191008:0.186217:0.191008:0.186217:0.177292:0.170884:0.177292:0.000000 ab:@0.198973:0.191563:0.217417:0.191563:0.217417:0.175157:0.198973:0.175157:0.000000:0.000000 1:@0.221320:0.191008:0.236653:0.191008:0.236653:0.177292:0.221320:0.177292:0.000000 b:@0.240518:0.191563:0.249777:0.191563:0.249777:0.175157:0.240518:0.175157:0.000000 2:@0.249690:0.185499:0.254927:0.185499:0.254927:0.175918:0.249690:0.175918:0.000000 Ejemplo 1:@0.073089:0.218926:0.148872:0.218926:0.148872:0.202256:0.073089:0.202256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Desarrolla los siguientes binomios al cuadrado::@0.073089:0.246288:0.412471:0.246288:0.412471:0.229854:0.073089:0.229854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. ( 9):@0.073089:0.273652:0.152438:0.273652:0.152438:0.257218:0.073089:0.257218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.108095:0.273652:0.115568:0.273652:0.115568:0.257246:0.108095:0.257246:0.000000 1:@0.119452:0.273098:0.134785:0.273098:0.134785:0.259382:0.119452:0.259382:0.000000 2:@0.152336:0.267588:0.157573:0.267588:0.157573:0.258007:0.152336:0.258007:0.000000 b. (5 3 ):@0.073089:0.301015:0.173898:0.301015:0.173898:0.284582:0.073089:0.284582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.116985:0.301015:0.124440:0.301015:0.124440:0.284609:0.116985:0.284609:0.000000 2:@0.128324:0.300461:0.143658:0.300461:0.143658:0.286745:0.128324:0.286745:0.000000 y:@0.156414:0.301015:0.163887:0.301015:0.163887:0.284609:0.156414:0.284609:0.000000 2 2:@0.163830:0.294952:0.179054:0.294952:0.179054:0.285371:0.163830:0.285371:0.000000:0.000000:0.000000 c. :@0.073089:0.332940:0.088164:0.332940:0.088164:0.316506:0.073089:0.316506:0.000000:0.000000:0.000000 0,3:@0.106586:0.332940:0.127593:0.332940:0.127593:0.316506:0.106586:0.316506:0.000000:0.000000:0.000000 r:@0.127520:0.332940:0.132803:0.332940:0.132803:0.316534:0.127520:0.316534:0.000000 2:@0.132729:0.326553:0.141669:0.326553:0.141669:0.318557:0.132729:0.318557:0.000000 4:@0.141615:0.326876:0.146852:0.326876:0.146852:0.317295:0.141615:0.317295:0.000000 :@0.146805:0.332940:0.150837:0.332940:0.150837:0.316506:0.146805:0.316506:0.000000 2:@0.150763:0.332385:0.166096:0.332385:0.166096:0.318670:0.150763:0.318670:0.000000 3:@0.168839:0.326698:0.177822:0.326698:0.177822:0.310264:0.168839:0.310264:0.000000 5:@0.168839:0.340677:0.177822:0.340677:0.177822:0.324243:0.168839:0.324243:0.000000 s t:@0.180583:0.332939:0.197449:0.332940:0.197449:0.316534:0.180583:0.316533:0.000000:0.000000:0.000000 3 2:@0.186885:0.326876:0.202619:0.326876:0.202619:0.317295:0.186885:0.317295:0.000000:0.000000:0.000000 2:@0.205869:0.320572:0.211106:0.320572:0.211106:0.310992:0.205869:0.310992:0.000000 d. :@0.073089:0.364865:0.089968:0.364865:0.089968:0.348431:0.073089:0.348431:0.000000:0.000000:0.000000 1:@0.109427:0.358623:0.118410:0.358623:0.118410:0.342189:0.109427:0.342189:0.000000 2:@0.109427:0.372602:0.118410:0.372602:0.118410:0.356168:0.109427:0.356168:0.000000 x:@0.121171:0.364863:0.128626:0.364863:0.128626:0.348457:0.121171:0.348457:0.000000 m:@0.128560:0.358801:0.137080:0.358801:0.137080:0.349236:0.128560:0.349236:0.000000 1:@0.137037:0.358477:0.145977:0.358477:0.145977:0.350481:0.137037:0.350481:0.000000 1:@0.145923:0.358801:0.151160:0.358801:0.151160:0.349220:0.145923:0.349220:0.000000 2:@0.151118:0.364865:0.179299:0.364865:0.179299:0.348431:0.151118:0.348431:0.000000:0.000000:0.000000 2:@0.155075:0.364310:0.170408:0.364310:0.170408:0.350594:0.155075:0.350594:0.000000 n:@0.179226:0.364865:0.188724:0.364865:0.188724:0.348459:0.179226:0.348459:0.000000 2:@0.191938:0.352497:0.197175:0.352497:0.197175:0.342916:0.191938:0.342916:0.000000 Solución:@0.073089:0.392228:0.139222:0.392228:0.139222:0.375558:0.073089:0.375558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aplicamos la regla (x a) 2 , observando el signo.:@0.073089:0.419590:0.542954:0.419591:0.542954:0.403157:0.073089:0.403156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.225887:0.419035:0.241221:0.419035:0.241221:0.405319:0.225887:0.405319:0.000000 2:@0.258146:0.413527:0.263383:0.413527:0.263383:0.403946:0.258146:0.403946:0.000000 5:@0.267294:0.419036:0.282627:0.419036:0.282627:0.405321:0.267294:0.405321:0.000000 x:@0.286493:0.419591:0.293948:0.419591:0.293948:0.403185:0.286493:0.403185:0.000000 2:@0.293868:0.413527:0.299104:0.413527:0.299104:0.403946:0.293868:0.403946:0.000000 6:@0.303014:0.419036:0.318348:0.419036:0.318348:0.405321:0.303014:0.405321:0.000000 ax:@0.331104:0.419591:0.347744:0.419591:0.347744:0.403185:0.331104:0.403185:0.000000:0.000000 1:@0.351646:0.419036:0.366980:0.419036:0.366980:0.405321:0.351646:0.405321:0.000000 a:@0.370845:0.419591:0.380104:0.419591:0.380104:0.403185:0.370845:0.403185:0.000000 2:@0.380019:0.413527:0.385255:0.413527:0.385255:0.403946:0.380019:0.403946:0.000000 a. ( 9) 2( )(9) 9 :@0.073089:0.446954:0.337814:0.446954:0.337814:0.430520:0.073089:0.430520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.108095:0.446954:0.115568:0.446954:0.115568:0.430548:0.108095:0.430548:0.000000 1:@0.119452:0.446400:0.134785:0.446400:0.134785:0.432684:0.119452:0.432684:0.000000 2:@0.152336:0.440890:0.157573:0.440890:0.157573:0.431309:0.152336:0.431309:0.000000 5:@0.161484:0.446400:0.176818:0.446400:0.176818:0.432684:0.161484:0.432684:0.000000 y:@0.180683:0.446954:0.188156:0.446954:0.188156:0.430548:0.180683:0.430548:0.000000 2:@0.188076:0.440890:0.193313:0.440890:0.193313:0.431309:0.188076:0.431309:0.000000 1:@0.197223:0.446400:0.212556:0.446400:0.212556:0.432684:0.197223:0.432684:0.000000 y:@0.230117:0.446954:0.237590:0.446954:0.237590:0.430548:0.230117:0.430548:0.000000 1:@0.264759:0.446400:0.280092:0.446400:0.280092:0.432684:0.264759:0.432684:0.000000 2:@0.292854:0.440890:0.298090:0.440890:0.298090:0.431309:0.292854:0.431309:0.000000 5:@0.302000:0.446400:0.317334:0.446400:0.317334:0.432684:0.302000:0.432684:0.000000 y:@0.321199:0.446954:0.328672:0.446954:0.328672:0.430548:0.321199:0.430548:0.000000 2:@0.328592:0.440890:0.333829:0.440890:0.333829:0.431309:0.328592:0.431309:0.000000 1 :@0.337740:0.446400:0.357583:0.446400:0.357583:0.432684:0.337740:0.432684:0.000000:0.000000 18 81:@0.357491:0.446954:0.423739:0.446954:0.423739:0.430520:0.357491:0.430520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.375291:0.446954:0.382765:0.446954:0.382765:0.430548:0.375291:0.430548:0.000000 1:@0.386649:0.446400:0.401982:0.446400:0.401982:0.432684:0.386649:0.432684:0.000000 b. (5 3 ) (5 ) 2(5 )(3 ) (3y ) 25 30:@0.073089:0.474317:0.476859:0.474317:0.476859:0.457884:0.073089:0.457884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.116985:0.474317:0.124440:0.474317:0.124440:0.457911:0.116985:0.457911:0.000000 2:@0.128324:0.473763:0.143658:0.473763:0.143658:0.460047:0.128324:0.460047:0.000000 y:@0.156414:0.474317:0.163887:0.474317:0.163887:0.457911:0.156414:0.457911:0.000000 2 2:@0.163830:0.468254:0.179054:0.468254:0.179054:0.458673:0.163830:0.458673:0.000000:0.000000:0.000000 5:@0.182966:0.473763:0.198299:0.473763:0.198299:0.460047:0.182966:0.460047:0.000000 x:@0.215859:0.474317:0.223314:0.474317:0.223314:0.457911:0.215859:0.457911:0.000000 2:@0.228035:0.468254:0.233272:0.468254:0.233272:0.458673:0.228035:0.458673:0.000000 2:@0.237183:0.473763:0.252517:0.473763:0.252517:0.460047:0.237183:0.460047:0.000000 x:@0.278968:0.474317:0.286423:0.474317:0.286423:0.457911:0.278968:0.457911:0.000000 y:@0.304848:0.474317:0.312322:0.474317:0.312322:0.457911:0.304848:0.457911:0.000000 2:@0.312261:0.468254:0.317498:0.468254:0.317498:0.458673:0.312261:0.458673:0.000000 1:@0.326194:0.473763:0.341527:0.473763:0.341527:0.460047:0.326194:0.460047:0.000000 2 2:@0.367108:0.468254:0.382334:0.468254:0.382334:0.458673:0.367108:0.458673:0.000000:0.000000:0.000000 5:@0.386244:0.473763:0.401577:0.473763:0.401577:0.460047:0.386244:0.460047:0.000000 x:@0.423242:0.474317:0.430697:0.474317:0.430697:0.457911:0.423242:0.457911:0.000000 2:@0.430622:0.468254:0.435859:0.468254:0.435859:0.458673:0.430622:0.458673:0.000000 2:@0.439769:0.473763:0.455102:0.473763:0.455102:0.460047:0.439769:0.460047:0.000000 xy:@0.476767:0.474317:0.491824:0.474317:0.491824:0.457911:0.476767:0.457911:0.000000:0.000000 2:@0.491756:0.468254:0.496993:0.468254:0.496993:0.458673:0.491756:0.458673:0.000000 9:@0.496946:0.474317:0.529086:0.474317:0.529086:0.457884:0.496946:0.457884:0.000000:0.000000:0.000000:0.000000 1:@0.500904:0.473763:0.516237:0.473763:0.516237:0.460047:0.500904:0.460047:0.000000 y:@0.528994:0.474317:0.536467:0.474317:0.536467:0.457911:0.528994:0.457911:0.000000 4:@0.536398:0.468254:0.541635:0.468254:0.541635:0.458673:0.536398:0.458673:0.000000 c. :@0.073089:0.506242:0.088165:0.506242:0.088165:0.489808:0.073089:0.489808:0.000000:0.000000:0.000000 0,3 :@0.106587:0.506242:0.141951:0.506242:0.141951:0.489808:0.106587:0.489808:0.000000:0.000000:0.000000:0.000000:0.000000 r:@0.127513:0.506242:0.132796:0.506242:0.132796:0.489836:0.127513:0.489836:0.000000 4:@0.132730:0.500178:0.137966:0.500178:0.137966:0.490597:0.132730:0.490597:0.000000 2:@0.141877:0.505687:0.157210:0.505687:0.157210:0.491972:0.141877:0.491972:0.000000 3:@0.159953:0.500000:0.168936:0.500000:0.168936:0.483566:0.159953:0.483566:0.000000 5:@0.159953:0.513979:0.168936:0.513979:0.168936:0.497545:0.159953:0.497545:0.000000 s t:@0.171697:0.506241:0.188563:0.506242:0.188563:0.489836:0.171697:0.489835:0.000000:0.000000:0.000000 3 2:@0.177999:0.500178:0.193735:0.500178:0.193735:0.490597:0.177999:0.490597:0.000000:0.000000:0.000000 2:@0.196984:0.493875:0.202220:0.493875:0.202220:0.484294:0.196984:0.484294:0.000000 :@0.202173:0.506242:0.225403:0.506242:0.225403:0.489808:0.202173:0.489808:0.000000:0.000000:0.000000 5:@0.206130:0.505687:0.221464:0.505687:0.221464:0.491972:0.206130:0.491972:0.000000 1:@0.231452:0.500000:0.240435:0.500000:0.240435:0.483566:0.231452:0.483566:0.000000 3:@0.231452:0.513979:0.240435:0.513979:0.240435:0.497545:0.231452:0.497545:0.000000 r:@0.243196:0.506241:0.248479:0.506241:0.248479:0.489835:0.243196:0.489835:0.000000 4:@0.248412:0.500178:0.253649:0.500178:0.253649:0.490597:0.248412:0.490597:0.000000 2:@0.256897:0.493875:0.262134:0.493875:0.262134:0.484294:0.256897:0.484294:0.000000 2 :@0.262088:0.506242:0.294227:0.506242:0.294227:0.489808:0.262088:0.489808:0.000000:0.000000:0.000000:0.000000 2:@0.266046:0.505687:0.281379:0.505687:0.281379:0.491972:0.266046:0.491972:0.000000 1:@0.300270:0.500000:0.309253:0.500000:0.309253:0.483566:0.300270:0.483566:0.000000 3:@0.300270:0.513979:0.309253:0.513979:0.309253:0.497545:0.300270:0.497545:0.000000 r:@0.312014:0.506241:0.317297:0.506241:0.317297:0.489835:0.312014:0.489835:0.000000 4:@0.317230:0.500178:0.322467:0.500178:0.322467:0.490597:0.317230:0.490597:0.000000 :@0.325716:0.493875:0.328066:0.493875:0.328066:0.484294:0.325716:0.484294:0.000000 3:@0.334156:0.500000:0.343139:0.500000:0.343139:0.483566:0.334156:0.483566:0.000000 5:@0.334156:0.513979:0.343139:0.513979:0.343139:0.497545:0.334156:0.497545:0.000000 s t:@0.345900:0.506241:0.362766:0.506242:0.362766:0.489836:0.345900:0.489835:0.000000:0.000000:0.000000 3 2:@0.352202:0.500178:0.367938:0.500178:0.367938:0.490597:0.352202:0.490597:0.000000:0.000000:0.000000 :@0.371186:0.493875:0.373537:0.493875:0.373537:0.484294:0.371186:0.484294:0.000000 1:@0.373489:0.505687:0.388822:0.505687:0.388822:0.491972:0.373489:0.491972:0.000000 3:@0.394868:0.500000:0.403851:0.500000:0.403851:0.483566:0.394868:0.483566:0.000000 5:@0.394868:0.513979:0.403851:0.513979:0.403851:0.497545:0.394868:0.497545:0.000000 s t:@0.406612:0.506241:0.423478:0.506242:0.423478:0.489836:0.406612:0.489835:0.000000:0.000000:0.000000 3 2:@0.412914:0.500178:0.428650:0.500178:0.428650:0.490597:0.412914:0.490597:0.000000:0.000000:0.000000 2:@0.431899:0.493875:0.437135:0.493875:0.437135:0.484294:0.431899:0.484294:0.000000 5:@0.172701:0.537612:0.188034:0.537612:0.188034:0.523896:0.172701:0.523896:0.000000 :@0.187942:0.538167:0.191973:0.538167:0.191973:0.521733:0.187942:0.521733:0.000000 1:@0.194735:0.531925:0.203717:0.531925:0.203717:0.515491:0.194735:0.515491:0.000000 9:@0.194735:0.545904:0.203717:0.545904:0.203717:0.529470:0.194735:0.529470:0.000000 r:@0.206478:0.538165:0.211761:0.538165:0.211761:0.521759:0.206478:0.521759:0.000000 8 :@0.211694:0.532103:0.219238:0.532103:0.219238:0.522522:0.211694:0.522522:0.000000:0.000000 2:@0.219188:0.537612:0.234521:0.537612:0.234521:0.523896:0.219188:0.523896:0.000000 :@0.234429:0.538167:0.238460:0.538167:0.238460:0.521733:0.234429:0.521733:0.000000 2:@0.241221:0.531925:0.250204:0.531925:0.250204:0.515491:0.241221:0.515491:0.000000 5:@0.241221:0.545904:0.250204:0.545904:0.250204:0.529470:0.241221:0.529470:0.000000 r s t:@0.252965:0.538165:0.282540:0.538167:0.282540:0.521761:0.252965:0.521759:0.000000:0.000000:0.000000:0.000000:0.000000 4 3 2 :@0.258181:0.532103:0.290019:0.532103:0.290019:0.522522:0.258181:0.522522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.289969:0.537612:0.305302:0.537612:0.305302:0.523896:0.289969:0.523896:0.000000 :@0.305210:0.538167:0.309241:0.538167:0.309241:0.521733:0.305210:0.521733:0.000000 9:@0.316731:0.531925:0.325714:0.531925:0.325714:0.515491:0.316731:0.515491:0.000000 25:@0.312277:0.545904:0.330168:0.545904:0.330168:0.529470:0.312277:0.529470:0.000000:0.000000 s t:@0.333206:0.538165:0.350072:0.538167:0.350072:0.521761:0.333206:0.521759:0.000000:0.000000:0.000000 6 4:@0.339506:0.532103:0.355242:0.532103:0.355242:0.522522:0.339506:0.522522:0.000000:0.000000:0.000000 d. :@0.073089:0.570091:0.089968:0.570091:0.089968:0.553657:0.073089:0.553657:0.000000:0.000000:0.000000 1:@0.109428:0.563849:0.118410:0.563849:0.118410:0.547415:0.109428:0.547415:0.000000 2:@0.109428:0.577828:0.118410:0.577828:0.118410:0.561395:0.109428:0.561395:0.000000 x:@0.121171:0.570090:0.128626:0.570090:0.128626:0.553684:0.121171:0.553684:0.000000 m:@0.128560:0.564027:0.137080:0.564027:0.137080:0.554463:0.128560:0.554463:0.000000 1:@0.137037:0.563704:0.145977:0.563704:0.145977:0.555708:0.137037:0.555708:0.000000 1:@0.145923:0.564027:0.151160:0.564027:0.151160:0.554446:0.145923:0.554446:0.000000 2:@0.151118:0.569537:0.166451:0.569537:0.166451:0.555821:0.151118:0.555821:0.000000 2 :@0.166359:0.570091:0.197209:0.570091:0.197209:0.553657:0.166359:0.553657:0.000000:0.000000:0.000000 n:@0.175268:0.570091:0.184766:0.570091:0.184766:0.553685:0.175268:0.553685:0.000000 2:@0.187989:0.557724:0.193226:0.557724:0.193226:0.548143:0.187989:0.548143:0.000000 5 :@0.197136:0.569537:0.216979:0.569537:0.216979:0.555821:0.197136:0.555821:0.000000:0.000000 1:@0.223016:0.563849:0.231999:0.563849:0.231999:0.547415:0.223016:0.547415:0.000000 2:@0.223016:0.577828:0.231999:0.577828:0.231999:0.561395:0.223016:0.561395:0.000000 x:@0.234760:0.570090:0.242215:0.570090:0.242215:0.553684:0.234760:0.553684:0.000000 m:@0.242150:0.564027:0.250671:0.564027:0.250671:0.554463:0.242150:0.554463:0.000000 1:@0.250628:0.563704:0.259567:0.563704:0.259567:0.555708:0.250628:0.555708:0.000000 1:@0.259513:0.564027:0.264750:0.564027:0.264750:0.554446:0.259513:0.554446:0.000000 2:@0.268002:0.557724:0.273239:0.557724:0.273239:0.548143:0.268002:0.548143:0.000000 2:@0.273193:0.570091:0.301374:0.570091:0.301374:0.553657:0.273193:0.553657:0.000000:0.000000:0.000000 2:@0.277150:0.569537:0.292484:0.569537:0.292484:0.555821:0.277150:0.555821:0.000000 1:@0.307424:0.563849:0.316406:0.563849:0.316406:0.547415:0.307424:0.547415:0.000000 2:@0.307424:0.577828:0.316406:0.577828:0.316406:0.561395:0.307424:0.561395:0.000000 x:@0.319168:0.570090:0.326622:0.570090:0.326622:0.553684:0.319168:0.553684:0.000000 m:@0.326556:0.564027:0.335076:0.564027:0.335076:0.554463:0.326556:0.554463:0.000000 1:@0.335033:0.563704:0.343973:0.563704:0.343973:0.555708:0.335033:0.555708:0.000000 1:@0.343919:0.564027:0.349156:0.564027:0.349156:0.554446:0.343919:0.554446:0.000000 (2 ) (2 ):@0.352409:0.570091:0.435423:0.570091:0.435423:0.553657:0.352409:0.553657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.370059:0.570091:0.379557:0.570091:0.379557:0.553685:0.370059:0.553685:0.000000 1:@0.388227:0.569537:0.403560:0.569537:0.403560:0.555821:0.388227:0.555821:0.000000 n:@0.421120:0.570091:0.430618:0.570091:0.430618:0.553685:0.421120:0.553685:0.000000 2:@0.435359:0.564027:0.440596:0.564027:0.440596:0.554446:0.435359:0.554446:0.000000 5:@0.172701:0.601461:0.188034:0.601461:0.188034:0.587745:0.172701:0.587745:0.000000 :@0.187942:0.602016:0.191973:0.602016:0.191973:0.585582:0.187942:0.585582:0.000000 1:@0.194735:0.595774:0.203717:0.595774:0.203717:0.579340:0.194735:0.579340:0.000000 4:@0.194735:0.609753:0.203717:0.609753:0.203717:0.593319:0.194735:0.593319:0.000000 x:@0.206478:0.602015:0.213933:0.602015:0.213933:0.585608:0.206478:0.585608:0.000000 2 m 2 :@0.213866:0.595952:0.246533:0.595952:0.246533:0.586371:0.213866:0.586371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.230103:0.595629:0.239042:0.595629:0.239042:0.587632:0.230103:0.587632:0.000000 2:@0.246481:0.601461:0.261814:0.601461:0.261814:0.587745:0.246481:0.587745:0.000000 2:@0.261722:0.602016:0.270705:0.602016:0.270705:0.585582:0.261722:0.585582:0.000000 nx:@0.270631:0.602016:0.287510:0.602016:0.287510:0.585610:0.270631:0.585610:0.000000:0.000000 m:@0.287445:0.595952:0.295966:0.595952:0.295966:0.586387:0.287445:0.586387:0.000000 1:@0.295923:0.595629:0.304862:0.595629:0.304862:0.587632:0.295923:0.587632:0.000000 1:@0.304809:0.595952:0.310046:0.595952:0.310046:0.586371:0.304809:0.586371:0.000000 n:@0.310002:0.602016:0.350130:0.602016:0.350130:0.585610:0.310002:0.585610:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.313242:0.601461:0.328575:0.601461:0.328575:0.587745:0.313242:0.587745:0.000000 4:@0.331723:0.602016:0.340706:0.602016:0.340706:0.585582:0.331723:0.585582:0.000000 2:@0.350072:0.595952:0.355309:0.595952:0.355309:0.586371:0.350072:0.586371:0.000000 4.2 Producto de la suma por la diferencia de dos términos:@0.073089:0.629379:0.523150:0.629379:0.523150:0.612432:0.073089:0.612432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Es el producto de dos binomios conjugados o producto de la suma por la diferencia de :@0.073089:0.656741:0.710862:0.656741:0.710862:0.640307:0.073089:0.640307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dos términos: ( ) ( ) :@0.073089:0.673383:0.342359:0.673384:0.342359:0.656950:0.073089:0.656949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.180201:0.673383:0.189460:0.673383:0.189460:0.656977:0.180201:0.656977:0.000000 1:@0.193344:0.672828:0.208677:0.672828:0.208677:0.659112:0.193344:0.659112:0.000000 b a:@0.212542:0.673383:0.244534:0.673383:0.244534:0.656977:0.212542:0.656977:0.000000:0.000000:0.000000 2:@0.248418:0.672828:0.263751:0.672828:0.263751:0.659112:0.248418:0.659112:0.000000 b:@0.267617:0.673383:0.276876:0.673383:0.276876:0.656977:0.267617:0.656977:0.000000 5:@0.285546:0.672828:0.300879:0.672828:0.300879:0.659112:0.285546:0.659112:0.000000 a:@0.304744:0.673383:0.314003:0.673383:0.314003:0.656977:0.304744:0.656977:0.000000 2:@0.313938:0.667320:0.319175:0.667320:0.319175:0.657739:0.313938:0.657739:0.000000 2:@0.323087:0.672829:0.338420:0.672829:0.338420:0.659114:0.323087:0.659114:0.000000 b:@0.342285:0.673384:0.351544:0.673384:0.351544:0.656978:0.342285:0.656978:0.000000 2:@0.351464:0.667320:0.356701:0.667320:0.356701:0.657739:0.351464:0.657739:0.000000 Ejemplo 2:@0.073089:0.700747:0.148872:0.700747:0.148872:0.684078:0.073089:0.684078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Encuentra el producto de los binomios conjugados.:@0.073089:0.728109:0.448370:0.728109:0.448370:0.711675:0.073089:0.711675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. (2 5 )(2 5 ):@0.073089:0.755472:0.241198:0.755472:0.241198:0.739039:0.073089:0.739039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.116985:0.755472:0.126244:0.755472:0.126244:0.739066:0.116985:0.739066:0.000000 2:@0.130128:0.754918:0.145461:0.754918:0.145461:0.741202:0.130128:0.741202:0.000000 b:@0.158218:0.755472:0.167477:0.755472:0.167477:0.739066:0.158218:0.739066:0.000000 a:@0.185902:0.755472:0.195161:0.755472:0.195161:0.739066:0.185902:0.739066:0.000000 1:@0.199045:0.754918:0.214378:0.754918:0.214378:0.741202:0.199045:0.741202:0.000000 b:@0.227134:0.755472:0.236393:0.755472:0.236393:0.739066:0.227134:0.739066:0.000000 b. :@0.073089:0.787397:0.089987:0.787397:0.089987:0.770963:0.073089:0.770963:0.000000:0.000000:0.000000 1:@0.109428:0.781156:0.118410:0.781156:0.118410:0.764723:0.109428:0.764723:0.000000 4:@0.109428:0.795135:0.118410:0.795135:0.118410:0.778702:0.109428:0.778702:0.000000 y:@0.121171:0.787397:0.128645:0.787397:0.128645:0.770991:0.121171:0.770991:0.000000 n :@0.128578:0.781333:0.136004:0.781333:0.136004:0.771768:0.128578:0.771768:0.000000:0.000000 1:@0.135970:0.786842:0.151303:0.786842:0.151303:0.773127:0.135970:0.773127:0.000000 4:@0.154053:0.781156:0.163036:0.781156:0.163036:0.764723:0.154053:0.764723:0.000000 5:@0.154053:0.795135:0.163036:0.795135:0.163036:0.778702:0.154053:0.778702:0.000000 x:@0.165797:0.787397:0.173252:0.787397:0.173252:0.770991:0.165797:0.770991:0.000000 m:@0.173185:0.781333:0.181705:0.781333:0.181705:0.771768:0.173185:0.771768:0.000000 0,25:@0.184962:0.787397:0.222140:0.787397:0.222140:0.770963:0.184962:0.770963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.222037:0.787397:0.238256:0.787397:0.238256:0.770991:0.222037:0.770991:0.000000:0.000000:0.000000 n:@0.229444:0.781333:0.234981:0.781333:0.234981:0.771768:0.229444:0.771768:0.000000 2:@0.238182:0.786842:0.253516:0.786842:0.253516:0.773127:0.238182:0.773127:0.000000 4:@0.256273:0.781156:0.265256:0.781156:0.265256:0.764723:0.256273:0.764723:0.000000 5:@0.256273:0.795135:0.265256:0.795135:0.265256:0.778702:0.256273:0.778702:0.000000 x:@0.268017:0.787397:0.275472:0.787397:0.275472:0.770991:0.268017:0.770991:0.000000 m:@0.275405:0.781333:0.283926:0.781333:0.283926:0.771768:0.275405:0.771768:0.000000 Solución:@0.073089:0.814760:0.139222:0.814760:0.139222:0.798091:0.073089:0.798091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Observamos que los binomios sean conjugados, es decir, que tengan términos iguales :@0.073089:0.842123:0.710793:0.842123:0.710793:0.825690:0.073089:0.825690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con signo contrario, y aplicamos la regla: ( )( ) :@0.073089:0.858765:0.527506:0.858765:0.527506:0.842331:0.073089:0.842331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.374710:0.858765:0.382165:0.858765:0.382165:0.842359:0.374710:0.842359:0.000000 1:@0.386049:0.858211:0.401382:0.858211:0.401382:0.844495:0.386049:0.844495:0.000000 a x:@0.405248:0.858765:0.431478:0.858765:0.431478:0.842359:0.405248:0.842359:0.000000:0.000000:0.000000 2:@0.435362:0.858211:0.450695:0.858211:0.450695:0.844495:0.435362:0.844495:0.000000 a:@0.454561:0.858765:0.463820:0.858765:0.463820:0.842359:0.454561:0.842359:0.000000 5:@0.472489:0.858211:0.487823:0.858211:0.487823:0.844495:0.472489:0.844495:0.000000 x:@0.491688:0.858765:0.499143:0.858765:0.499143:0.842359:0.491688:0.842359:0.000000 2:@0.499085:0.852701:0.504322:0.852701:0.504322:0.843120:0.499085:0.843120:0.000000 2:@0.508233:0.858211:0.523567:0.858211:0.523567:0.844495:0.508233:0.844495:0.000000 a:@0.527432:0.858765:0.536691:0.858765:0.536691:0.842359:0.527432:0.842359:0.000000 2:@0.536611:0.852701:0.541848:0.852701:0.541848:0.843120:0.536611:0.843120:0.000000 a. (2 5 )(2 5 ) (2 ) (5 ) 4 25:@0.073089:0.886129:0.436711:0.886129:0.436711:0.869695:0.073089:0.869695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.116985:0.886129:0.126244:0.886129:0.126244:0.869722:0.116985:0.869722:0.000000 2:@0.130128:0.885574:0.145461:0.885574:0.145461:0.871858:0.130128:0.871858:0.000000 b:@0.158218:0.886129:0.167477:0.886129:0.167477:0.869722:0.158218:0.869722:0.000000 a:@0.185902:0.886129:0.195161:0.886129:0.195161:0.869722:0.185902:0.869722:0.000000 1:@0.199045:0.885574:0.214378:0.885574:0.214378:0.871858:0.199045:0.871858:0.000000 b:@0.227134:0.886129:0.236393:0.886129:0.236393:0.869722:0.227134:0.869722:0.000000 5:@0.245063:0.885574:0.260396:0.885574:0.260396:0.871858:0.245063:0.871858:0.000000 a:@0.277957:0.886129:0.287216:0.886129:0.287216:0.869722:0.277957:0.869722:0.000000 2:@0.291975:0.880065:0.297212:0.880065:0.297212:0.870484:0.291975:0.870484:0.000000 2:@0.301122:0.885574:0.316455:0.885574:0.316455:0.871858:0.301122:0.871858:0.000000 b:@0.330058:0.886129:0.339317:0.886129:0.339317:0.869722:0.330058:0.869722:0.000000 2:@0.344046:0.880065:0.349283:0.880065:0.349283:0.870484:0.344046:0.870484:0.000000 5:@0.353193:0.885574:0.368526:0.885574:0.368526:0.871858:0.353193:0.871858:0.000000 a:@0.381282:0.886129:0.390541:0.886129:0.390541:0.869722:0.381282:0.869722:0.000000 2:@0.390472:0.880065:0.395709:0.880065:0.395709:0.870484:0.390472:0.870484:0.000000 2:@0.399621:0.885574:0.414954:0.885574:0.414954:0.871858:0.399621:0.871858:0.000000 b:@0.436619:0.886129:0.445878:0.886129:0.445878:0.869722:0.436619:0.869722:0.000000 2:@0.445801:0.880065:0.451038:0.880065:0.451038:0.870484:0.445801:0.870484:0.000000 b. :@0.073089:0.918054:0.089987:0.918054:0.089987:0.901620:0.073089:0.901620:0.000000:0.000000:0.000000 1:@0.109427:0.911812:0.118410:0.911812:0.118410:0.895378:0.109427:0.895378:0.000000 4:@0.109427:0.925791:0.118410:0.925791:0.118410:0.909357:0.109427:0.909357:0.000000 y:@0.121171:0.918053:0.128645:0.918053:0.128645:0.901647:0.121171:0.901647:0.000000 n :@0.128578:0.911990:0.136004:0.911990:0.136004:0.902425:0.128578:0.902425:0.000000:0.000000 1:@0.135970:0.917499:0.151303:0.917499:0.151303:0.903783:0.135970:0.903783:0.000000 4:@0.154053:0.911812:0.163036:0.911812:0.163036:0.895378:0.154053:0.895378:0.000000 5:@0.154053:0.925791:0.163036:0.925791:0.163036:0.909357:0.154053:0.909357:0.000000 x:@0.165797:0.918053:0.173252:0.918053:0.173252:0.901647:0.165797:0.901647:0.000000 m:@0.173185:0.911990:0.181705:0.911990:0.181705:0.902425:0.173185:0.902425:0.000000 0,25:@0.184962:0.918054:0.222140:0.918054:0.222140:0.901620:0.184962:0.901620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.222037:0.918054:0.238256:0.918054:0.238256:0.901648:0.222037:0.901648:0.000000:0.000000:0.000000 n:@0.229444:0.911990:0.234981:0.911990:0.234981:0.902425:0.229444:0.902425:0.000000 2:@0.238182:0.917499:0.253516:0.917499:0.253516:0.903783:0.238182:0.903783:0.000000 4:@0.256273:0.911812:0.265256:0.911812:0.265256:0.895378:0.256273:0.895378:0.000000 5:@0.256273:0.925791:0.265256:0.925791:0.265256:0.909357:0.256273:0.909357:0.000000 x:@0.268017:0.918053:0.275472:0.918053:0.275472:0.901647:0.268017:0.901647:0.000000 m:@0.275405:0.911990:0.283926:0.911990:0.283926:0.902425:0.275405:0.902425:0.000000 :@0.287182:0.918054:0.291214:0.918054:0.291214:0.901620:0.287182:0.901620:0.000000 5 :@0.291133:0.917499:0.310976:0.917499:0.310976:0.903783:0.291133:0.903783:0.000000:0.000000 1:@0.317021:0.911812:0.326003:0.911812:0.326003:0.895378:0.317021:0.895378:0.000000 4:@0.317021:0.925791:0.326003:0.925791:0.326003:0.909357:0.317021:0.909357:0.000000 y:@0.328764:0.918053:0.336238:0.918053:0.336238:0.901647:0.328764:0.901647:0.000000 n:@0.336173:0.911990:0.341710:0.911990:0.341710:0.902425:0.336173:0.902425:0.000000 2:@0.344966:0.905686:0.350203:0.905686:0.350203:0.896105:0.344966:0.896105:0.000000 :@0.350157:0.918054:0.354188:0.918054:0.354188:0.901620:0.350157:0.901620:0.000000 2 :@0.354115:0.917499:0.373958:0.917499:0.373958:0.903783:0.354115:0.903783:0.000000:0.000000 4:@0.379995:0.911812:0.388978:0.911812:0.388978:0.895378:0.379995:0.895378:0.000000 5:@0.379995:0.925791:0.388978:0.925791:0.388978:0.909357:0.379995:0.909357:0.000000 x:@0.391739:0.918053:0.399194:0.918053:0.399194:0.901647:0.391739:0.901647:0.000000 m:@0.399127:0.911990:0.407648:0.911990:0.407648:0.902425:0.399127:0.902425:0.000000 2:@0.410904:0.905686:0.416141:0.905686:0.416141:0.896105:0.410904:0.896105:0.000000 :@0.416095:0.918054:0.439325:0.918054:0.439325:0.901620:0.416095:0.901620:0.000000:0.000000:0.000000 5:@0.420053:0.917499:0.435386:0.917499:0.435386:0.903783:0.420053:0.903783:0.000000 1:@0.447145:0.911812:0.456128:0.911812:0.456128:0.895378:0.447145:0.895378:0.000000 16:@0.442690:0.925791:0.460582:0.925791:0.460582:0.909357:0.442690:0.909357:0.000000:0.000000 y:@0.463951:0.918053:0.471424:0.918053:0.471424:0.901647:0.463951:0.901647:0.000000 2:@0.471360:0.911990:0.476597:0.911990:0.476597:0.902409:0.471360:0.902409:0.000000 n :@0.476554:0.911990:0.483981:0.911990:0.483981:0.902425:0.476554:0.902425:0.000000:0.000000 2:@0.483943:0.917499:0.499276:0.917499:0.499276:0.903783:0.483943:0.903783:0.000000 :@0.499184:0.918054:0.503215:0.918054:0.503215:0.901620:0.499184:0.901620:0.000000 16:@0.506590:0.911812:0.524482:0.911812:0.524482:0.895378:0.506590:0.895378:0.000000:0.000000 25:@0.506590:0.925791:0.524482:0.925791:0.524482:0.909357:0.506590:0.909357:0.000000:0.000000 x:@0.527851:0.918053:0.535306:0.918053:0.535306:0.901647:0.527851:0.901647:0.000000 2:@0.535240:0.911990:0.540477:0.911990:0.540477:0.902409:0.535240:0.902409:0.000000 m:@0.540434:0.911990:0.548955:0.911990:0.548955:0.902425:0.540434:0.902425:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000