97:@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
4.6 Teorema del binomio :@0.073089:0.136836:0.271033:0.136836:0.271033:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El teorema del binomio o binomio de Newton es una fórmula con la cual se pueden :@0.080653:0.170262:0.702908:0.170262:0.702908:0.153829:0.080653:0.153829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribir directamente los términos del desarrollo de una potencia entera y positiva de :@0.080653:0.186904:0.703248:0.186904:0.703248:0.170470:0.080653:0.170470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un binomio (     ) .:@0.080653:0.203546:0.229881:0.203546:0.229881:0.187112:0.080653:0.187112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.174640:0.203546:0.183899:0.203546:0.183899:0.187140:0.174640:0.187140:0.000000
1:@0.187783:0.202991:0.203116:0.202991:0.203116:0.189276:0.187783:0.189276:0.000000
b:@0.206982:0.203546:0.216240:0.203546:0.216240:0.187140:0.206982:0.187140:0.000000
n:@0.220973:0.197482:0.226725:0.197482:0.226725:0.187901:0.220973:0.187901:0.000000
Para determinar esta fórmula, encontraremos por multiplicación directa los desarrollos :@0.073088:0.240283:0.710109:0.240283:0.710109:0.223849:0.073088:0.223849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los binomios hasta la quinta potencia.:@0.073088:0.256925:0.369916:0.256925:0.369916:0.240491:0.073088:0.240491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(     )    1:@0.229623:0.287865:0.318075:0.287862:0.318075:0.271428:0.229623:0.271431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.234427:0.287865:0.243686:0.287865:0.243686:0.271459:0.234427:0.271459:0.000000
1:@0.247570:0.287310:0.262903:0.287310:0.262903:0.273594:0.247570:0.273594:0.000000
b:@0.266769:0.287865:0.276028:0.287865:0.276028:0.271459:0.266769:0.271459:0.000000
0:@0.280745:0.281798:0.285982:0.281798:0.285982:0.272217:0.280745:0.272217:0.000000
5:@0.289893:0.287307:0.305227:0.287307:0.305227:0.273592:0.289893:0.273592:0.000000
(     )        :@0.229628:0.318802:0.341507:0.318800:0.341507:0.302366:0.229628:0.302368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.234432:0.318802:0.243691:0.318802:0.243691:0.302396:0.234432:0.302396:0.000000
1:@0.247575:0.318247:0.262908:0.318247:0.262908:0.304532:0.247575:0.304532:0.000000
b:@0.266774:0.318802:0.276033:0.318802:0.276033:0.302396:0.266774:0.302396:0.000000
1:@0.280745:0.312736:0.285982:0.312736:0.285982:0.303155:0.280745:0.303155:0.000000
5 1:@0.289893:0.318245:0.337568:0.318245:0.337568:0.304529:0.289893:0.304529:0.000000:0.000000:0.000000
a:@0.309092:0.318800:0.318351:0.318800:0.318351:0.302393:0.309092:0.302393:0.000000
b:@0.341434:0.318800:0.350692:0.318800:0.350692:0.302393:0.341434:0.302393:0.000000
(     )        2:@0.229646:0.349739:0.355599:0.349736:0.355599:0.333302:0.229646:0.333306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.234451:0.349739:0.243710:0.349739:0.243710:0.333333:0.234451:0.333333:0.000000
1:@0.247593:0.349185:0.262927:0.349185:0.262927:0.335469:0.247593:0.335469:0.000000
b:@0.266792:0.349739:0.276051:0.349739:0.276051:0.333333:0.266792:0.333333:0.000000
2:@0.280745:0.343672:0.285982:0.343672:0.285982:0.334091:0.280745:0.334091:0.000000
5:@0.289893:0.349181:0.305227:0.349181:0.305227:0.335465:0.289893:0.335465:0.000000
a:@0.309092:0.349736:0.318351:0.349736:0.318351:0.333330:0.309092:0.333330:0.000000
2:@0.318271:0.343672:0.323507:0.343672:0.323507:0.334091:0.318271:0.334091:0.000000
1:@0.327417:0.349181:0.342751:0.349181:0.342751:0.335465:0.327417:0.335465:0.000000
ab :@0.355507:0.349736:0.377191:0.349736:0.377191:0.333330:0.355507:0.333330:0.000000:0.000000:0.000000
1:@0.377135:0.349181:0.392469:0.349181:0.392469:0.335465:0.377135:0.335465:0.000000
 :@0.392377:0.349736:0.396408:0.349736:0.396408:0.333302:0.392377:0.333302:0.000000
b  :@0.396334:0.349736:0.414072:0.349736:0.414072:0.333330:0.396334:0.333330:0.000000:0.000000:0.000000
2:@0.405521:0.343672:0.410758:0.343672:0.410758:0.334091:0.405521:0.334091:0.000000
(     )        3:@0.229631:0.380676:0.355599:0.380673:0.355599:0.364239:0.229631:0.364242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.234436:0.380676:0.243694:0.380676:0.243694:0.364270:0.234436:0.364270:0.000000
1:@0.247578:0.380121:0.262912:0.380121:0.262912:0.366405:0.247578:0.366405:0.000000
b:@0.266777:0.380676:0.276036:0.380676:0.276036:0.364270:0.266777:0.364270:0.000000
3:@0.280745:0.374609:0.285982:0.374609:0.285982:0.365028:0.280745:0.365028:0.000000
5:@0.289893:0.380118:0.305227:0.380118:0.305227:0.366403:0.289893:0.366403:0.000000
a:@0.309092:0.380673:0.318351:0.380673:0.318351:0.364267:0.309092:0.364267:0.000000
3:@0.318271:0.374609:0.323507:0.374609:0.323507:0.365028:0.318271:0.365028:0.000000
1:@0.327417:0.380118:0.342751:0.380118:0.342751:0.366403:0.327417:0.366403:0.000000
a b :@0.355507:0.380673:0.382386:0.380673:0.382386:0.364267:0.355507:0.364267:0.000000:0.000000:0.000000:0.000000
2:@0.364697:0.374609:0.369934:0.374609:0.369934:0.365028:0.364697:0.365028:0.000000
1:@0.382331:0.380118:0.397664:0.380118:0.397664:0.366403:0.382331:0.366403:0.000000
 3:@0.397572:0.380673:0.410513:0.380673:0.410513:0.364239:0.397572:0.364239:0.000000:0.000000
ab    b:@0.410421:0.380673:0.464975:0.380673:0.464975:0.364267:0.410421:0.364267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.428806:0.374609:0.434043:0.374609:0.434043:0.365028:0.428806:0.365028:0.000000
1:@0.437235:0.380118:0.452568:0.380118:0.452568:0.366403:0.437235:0.366403:0.000000
4:@0.464923:0.374609:0.470160:0.374609:0.470160:0.365028:0.464923:0.365028:0.000000
(     )        4:@0.229623:0.411609:0.355599:0.411609:0.355599:0.395175:0.229623:0.395175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.234427:0.411609:0.243686:0.411609:0.243686:0.395203:0.234427:0.395203:0.000000
1:@0.247570:0.411055:0.262903:0.411055:0.262903:0.397339:0.247570:0.397339:0.000000
b:@0.266769:0.411609:0.276028:0.411609:0.276028:0.395203:0.266769:0.395203:0.000000
4:@0.280745:0.405545:0.285982:0.405545:0.285982:0.395964:0.280745:0.395964:0.000000
5:@0.289893:0.411055:0.305227:0.411055:0.305227:0.397339:0.289893:0.397339:0.000000
a:@0.309092:0.411609:0.318351:0.411609:0.318351:0.395203:0.309092:0.395203:0.000000
4:@0.318271:0.405545:0.323507:0.405545:0.323507:0.395964:0.318271:0.395964:0.000000
1:@0.327417:0.411055:0.342751:0.411055:0.342751:0.397339:0.327417:0.397339:0.000000
a b :@0.355507:0.411609:0.382386:0.411609:0.382386:0.395203:0.355507:0.395203:0.000000:0.000000:0.000000:0.000000
3:@0.364697:0.405545:0.369934:0.405545:0.369934:0.395964:0.364697:0.395964:0.000000
1:@0.382331:0.411055:0.397664:0.411055:0.397664:0.397339:0.382331:0.397339:0.000000
 6:@0.397572:0.411609:0.410513:0.411609:0.410513:0.395175:0.397572:0.395175:0.000000:0.000000
a b     ab:@0.410421:0.411609:0.488260:0.411609:0.488260:0.395203:0.410421:0.395203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2:@0.419613:0.405545:0.439232:0.405545:0.439232:0.395964:0.419613:0.395964:0.000000:0.000000:0.000000
1:@0.442426:0.411055:0.457759:0.411055:0.457759:0.397339:0.442426:0.397339:0.000000
4:@0.460907:0.411609:0.469889:0.411609:0.469889:0.395175:0.460907:0.395175:0.000000
3 :@0.488208:0.405545:0.495752:0.405545:0.495752:0.395964:0.488208:0.395964:0.000000:0.000000
1:@0.495701:0.411055:0.511035:0.411055:0.511035:0.397339:0.495701:0.397339:0.000000
  4:@0.510943:0.405545:0.527676:0.405545:0.527676:0.395964:0.510943:0.395964:0.000000:0.000000:0.000000
b:@0.513245:0.411609:0.522504:0.411609:0.522504:0.395203:0.513245:0.395203:0.000000
(     )        5:@0.229623:0.442547:0.355599:0.442547:0.355599:0.426113:0.229623:0.426113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.234427:0.442547:0.243686:0.442547:0.243686:0.426141:0.234427:0.426141:0.000000
1:@0.247570:0.441992:0.262903:0.441992:0.262903:0.428276:0.247570:0.428276:0.000000
b:@0.266769:0.442547:0.276028:0.442547:0.276028:0.426141:0.266769:0.426141:0.000000
5:@0.280745:0.436483:0.285982:0.436483:0.285982:0.426902:0.280745:0.426902:0.000000
5:@0.289893:0.441992:0.305227:0.441992:0.305227:0.428276:0.289893:0.428276:0.000000
a:@0.309077:0.442547:0.318336:0.442547:0.318336:0.426141:0.309077:0.426141:0.000000
5:@0.318271:0.436483:0.323507:0.436483:0.323507:0.426902:0.318271:0.426902:0.000000
1:@0.327417:0.441992:0.342751:0.441992:0.342751:0.428276:0.327417:0.428276:0.000000
a b :@0.355507:0.442547:0.382386:0.442547:0.382386:0.426141:0.355507:0.426141:0.000000:0.000000:0.000000:0.000000
4:@0.364697:0.436483:0.369934:0.436483:0.369934:0.426902:0.364697:0.426902:0.000000
1:@0.382331:0.441992:0.397664:0.441992:0.397664:0.428276:0.382331:0.428276:0.000000
 10:@0.397572:0.442547:0.419422:0.442547:0.419422:0.426113:0.397572:0.426113:0.000000:0.000000:0.000000
a b     a b:@0.419330:0.442547:0.511269:0.442547:0.511269:0.426141:0.419330:0.426141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 2:@0.428515:0.436483:0.448135:0.436483:0.448135:0.426902:0.428515:0.426902:0.000000:0.000000:0.000000
1:@0.451328:0.441992:0.466662:0.441992:0.466662:0.428276:0.451328:0.428276:0.000000
10:@0.469809:0.442547:0.487701:0.442547:0.487701:0.426113:0.469809:0.426113:0.000000:0.000000
2 3 :@0.496819:0.436483:0.518746:0.436483:0.518746:0.426902:0.496819:0.426902:0.000000:0.000000:0.000000:0.000000
1:@0.518695:0.441992:0.534029:0.441992:0.534029:0.428276:0.518695:0.428276:0.000000
 :@0.533937:0.436483:0.536287:0.436483:0.536287:0.426902:0.533937:0.426902:0.000000
5:@0.536241:0.442547:0.545224:0.442547:0.545224:0.426113:0.536241:0.426113:0.000000
ab:@0.545150:0.442547:0.563594:0.442547:0.563594:0.426141:0.545150:0.426141:0.000000:0.000000
4 :@0.563527:0.436483:0.571071:0.436483:0.571071:0.426902:0.563527:0.426902:0.000000:0.000000
1:@0.571021:0.441992:0.586354:0.441992:0.586354:0.428276:0.571021:0.428276:0.000000
 b:@0.586262:0.442547:0.598760:0.442547:0.598760:0.426141:0.586262:0.426141:0.000000:0.000000
5:@0.598702:0.436483:0.603939:0.436483:0.603939:0.426902:0.598702:0.426902:0.000000
El análisis del desarrollo de estos binomios nos permite encontrar la fórmula que :@0.073089:0.473483:0.710759:0.473483:0.710759:0.457049:0.073089:0.457049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicaremos::@0.073089:0.490125:0.164198:0.490125:0.164198:0.473691:0.073089:0.473691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Si el exponente del binomio es  , hay :@0.073089:0.521062:0.377680:0.521062:0.377680:0.504628:0.073089:0.504628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.331154:0.521062:0.340652:0.521062:0.340652:0.504656:0.331154:0.504656:0.000000
n:@0.377577:0.521062:0.387075:0.521062:0.387075:0.504656:0.377577:0.504656:0.000000
1:@0.387002:0.520507:0.402335:0.520507:0.402335:0.506792:0.387002:0.506792:0.000000
1 términos en el desarrollo.:@0.402243:0.521062:0.597675:0.521062:0.597675:0.504628:0.402243:0.504628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Para cada valor de  , el desarrollo de (  +  )  empieza con   y termina con  . En :@0.073089:0.552000:0.710372:0.552000:0.710372:0.535566:0.073089:0.535566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.242891:0.552000:0.252390:0.552000:0.252390:0.535593:0.242891:0.535593:0.000000
a:@0.383744:0.552000:0.393003:0.552000:0.393003:0.535593:0.383744:0.535593:0.000000
b:@0.413324:0.552000:0.422583:0.552000:0.422583:0.535593:0.413324:0.535593:0.000000
n:@0.427529:0.545936:0.433281:0.545936:0.433281:0.536355:0.427529:0.536355:0.000000
a:@0.538169:0.552000:0.547428:0.552000:0.547428:0.535593:0.538169:0.535593:0.000000
n:@0.547451:0.545936:0.552988:0.545936:0.552988:0.536371:0.547451:0.536371:0.000000
b:@0.665138:0.552000:0.674397:0.552000:0.674397:0.535593:0.665138:0.535593:0.000000
n:@0.674428:0.545936:0.679965:0.545936:0.679965:0.536371:0.674428:0.536371:0.000000
cada término los exponentes de  y   suman  .:@0.103209:0.568641:0.444405:0.568641:0.444405:0.552208:0.103209:0.552208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a  b:@0.340754:0.568641:0.374421:0.568641:0.374421:0.552235:0.340754:0.552235:0.000000:0.000000:0.000000:0.000000
n:@0.431778:0.568641:0.441276:0.568641:0.441276:0.552235:0.431778:0.552235:0.000000
3.  Las potencias de   disminuyen de 1 en 1 al pasar de cada término al siguiente. La :@0.073089:0.599578:0.697203:0.599578:0.697203:0.583144:0.073089:0.583144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.228626:0.599578:0.237885:0.599578:0.237885:0.583171:0.228626:0.583171:0.000000
b :@0.697090:0.599578:0.709663:0.599578:0.709663:0.583171:0.697090:0.583171:0.000000:0.000000
aparece por primera vez en el segundo término con exponente 1 que aumenta de :@0.103217:0.616219:0.710771:0.616219:0.710771:0.599786:0.103217:0.599786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 en 1. El exponente de   siempre es una unidad menor que el número de orden del :@0.103217:0.632861:0.710327:0.632861:0.710327:0.616427:0.103217:0.616427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.273632:0.632861:0.282890:0.632861:0.282890:0.616455:0.273632:0.616455:0.000000
término.:@0.103217:0.649503:0.164197:0.649503:0.164197:0.633069:0.103217:0.633069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.  El primer coeficiente es la unidad. El de cualquier otro término se obtiene multiplicando :@0.073089:0.680440:0.710279:0.680440:0.710279:0.664007:0.073089:0.664007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el término anterior su coeficiente por el exponente de   y dividiendo ese producto :@0.103217:0.697082:0.710487:0.697082:0.710487:0.680648:0.103217:0.680648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.508545:0.697082:0.517804:0.697082:0.517804:0.680676:0.508545:0.680676:0.000000
entre el número de términos anteriores al que se trata de formar.:@0.103199:0.713724:0.558837:0.713724:0.558837:0.697290:0.103199:0.697290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 6:@0.073084:0.744664:0.148867:0.744664:0.148867:0.727995:0.073084:0.727995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desarrolla (    2y) .:@0.073084:0.775604:0.214584:0.775598:0.214584:0.759164:0.073084:0.759170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.153929:0.775604:0.161384:0.775604:0.161384:0.759198:0.153929:0.759198:0.000000
1:@0.165268:0.775049:0.180601:0.775049:0.180601:0.761334:0.165268:0.761334:0.000000
7:@0.206191:0.769534:0.211427:0.769534:0.211427:0.759953:0.206191:0.759953:0.000000
Solución:@0.073088:0.806538:0.139221:0.806538:0.139221:0.789868:0.073088:0.789868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El desarrollo tendrá 8 términos, iniciará con   y terminará con 128 . :@0.073088:0.837478:0.568495:0.837471:0.568495:0.821037:0.073088:0.821044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.387668:0.837478:0.395123:0.837478:0.395123:0.821072:0.387668:0.821072:0.000000
7:@0.395049:0.831407:0.400286:0.831407:0.400286:0.821826:0.395049:0.821826:0.000000
y:@0.548657:0.837471:0.556131:0.837471:0.556131:0.821065:0.548657:0.821065:0.000000
7:@0.556071:0.831407:0.561307:0.831407:0.561307:0.821826:0.556071:0.821826:0.000000
Para obtener los coeficientes, tomamos en cuenta la conclusión 4.:@0.073083:0.868411:0.550235:0.868411:0.550235:0.851977:0.073083:0.851977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.073083:0.899351:0.080538:0.899351:0.080538:0.882945:0.073083:0.882945:0.000000
7:@0.080478:0.893281:0.085715:0.893281:0.085715:0.883700:0.080478:0.883700:0.000000
  7  (2 )   21x (2y)    35  (2 )    35 (2y)    21  (2y)   7 (2y)    (2y):@0.085668:0.899345:0.621795:0.899345:0.621795:0.882912:0.085668:0.882912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.089625:0.898791:0.104959:0.898791:0.104959:0.885075:0.089625:0.885075:0.000000
x:@0.113776:0.899345:0.121231:0.899345:0.121231:0.882939:0.113776:0.882939:0.000000
6:@0.121151:0.893281:0.126387:0.893281:0.126387:0.883700:0.121151:0.883700:0.000000
y:@0.143993:0.899345:0.151466:0.899345:0.151466:0.882939:0.143993:0.882939:0.000000
1:@0.160136:0.898791:0.175469:0.898791:0.175469:0.885075:0.160136:0.885075:0.000000
5:@0.204957:0.893281:0.210194:0.893281:0.210194:0.883700:0.204957:0.883700:0.000000
2:@0.236663:0.893281:0.241900:0.893281:0.241900:0.883700:0.236663:0.883700:0.000000
1:@0.245810:0.898791:0.261143:0.898791:0.261143:0.885075:0.245810:0.885075:0.000000
x:@0.282808:0.899345:0.290263:0.899345:0.290263:0.882939:0.282808:0.882939:0.000000
4:@0.290188:0.893281:0.295425:0.893281:0.295425:0.883700:0.290188:0.883700:0.000000
y:@0.313031:0.899345:0.320505:0.899345:0.320505:0.882939:0.313031:0.882939:0.000000
3:@0.325232:0.893281:0.330469:0.893281:0.330469:0.883700:0.325232:0.883700:0.000000
1:@0.334380:0.898791:0.349714:0.898791:0.349714:0.885075:0.334380:0.885075:0.000000
x:@0.371379:0.899345:0.378834:0.899345:0.378834:0.882939:0.371379:0.882939:0.000000
3:@0.378757:0.893281:0.383994:0.893281:0.383994:0.883700:0.378757:0.883700:0.000000
4:@0.410463:0.893281:0.415699:0.893281:0.415699:0.883700:0.410463:0.883700:0.000000
1:@0.419611:0.898791:0.434944:0.898791:0.434944:0.885075:0.419611:0.885075:0.000000
x:@0.456610:0.899345:0.464064:0.899345:0.464064:0.882939:0.456610:0.882939:0.000000
2:@0.463987:0.893281:0.469224:0.893281:0.469224:0.883700:0.463987:0.883700:0.000000
5:@0.499644:0.893281:0.504881:0.893281:0.504881:0.883700:0.499644:0.883700:0.000000
1:@0.508791:0.898791:0.524124:0.898791:0.524124:0.885075:0.508791:0.885075:0.000000
x:@0.532941:0.899345:0.540396:0.899345:0.540396:0.882939:0.532941:0.882939:0.000000
6:@0.566832:0.893281:0.572069:0.893281:0.572069:0.883700:0.566832:0.883700:0.000000
1:@0.575979:0.898791:0.591312:0.898791:0.591312:0.885075:0.575979:0.885075:0.000000
7:@0.621679:0.893281:0.626916:0.893281:0.626916:0.883700:0.621679:0.883700:0.000000
x:@0.073089:0.930282:0.080544:0.930282:0.080544:0.913876:0.073089:0.913876:0.000000
7:@0.080478:0.924218:0.085715:0.924218:0.085715:0.914637:0.080478:0.914637:0.000000
   14      84:@0.085668:0.930282:0.191599:0.930282:0.191599:0.913849:0.085668:0.913849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.089625:0.929728:0.104959:0.929728:0.104959:0.916012:0.089625:0.916012:0.000000
x y:@0.126624:0.930282:0.150624:0.930282:0.150624:0.913876:0.126624:0.913876:0.000000:0.000000:0.000000
6:@0.134003:0.924218:0.139240:0.924218:0.139240:0.914637:0.134003:0.914637:0.000000
1:@0.154508:0.929728:0.169841:0.929728:0.169841:0.916012:0.154508:0.916012:0.000000
x y:@0.191507:0.930282:0.211549:0.930282:0.211549:0.913876:0.191507:0.913876:0.000000:0.000000:0.000000
5 2:@0.198886:0.924218:0.216720:0.924218:0.216720:0.914637:0.198886:0.914637:0.000000:0.000000:0.000000
 + 280      560:@0.216673:0.930282:0.341255:0.930282:0.341255:0.913849:0.216673:0.913849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.262175:0.930282:0.286180:0.930282:0.286180:0.913876:0.262175:0.913876:0.000000:0.000000:0.000000
4:@0.269560:0.924218:0.274797:0.924218:0.274797:0.914637:0.269560:0.914637:0.000000
3:@0.286106:0.924218:0.291343:0.924218:0.291343:0.914637:0.286106:0.914637:0.000000
1:@0.295255:0.929728:0.310588:0.929728:0.310588:0.916012:0.295255:0.916012:0.000000
x y:@0.341144:0.930282:0.361198:0.930282:0.361198:0.913876:0.341144:0.913876:0.000000:0.000000:0.000000
3 4:@0.348534:0.924218:0.366368:0.924218:0.366368:0.914637:0.348534:0.914637:0.000000:0.000000:0.000000
   672:@0.366322:0.930282:0.416279:0.930282:0.416279:0.913849:0.366322:0.913849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.370279:0.929728:0.385613:0.929728:0.385613:0.916012:0.370279:0.916012:0.000000
x y:@0.416169:0.930282:0.436221:0.930282:0.436221:0.913876:0.416169:0.913876:0.000000:0.000000:0.000000
2 5:@0.423558:0.924218:0.441393:0.924218:0.441393:0.914637:0.423558:0.914637:0.000000:0.000000:0.000000
   448:@0.441345:0.930282:0.491302:0.930282:0.491302:0.913849:0.441345:0.913849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.445302:0.929728:0.460636:0.929728:0.460636:0.916012:0.445302:0.916012:0.000000
xy:@0.491192:0.930282:0.506249:0.930282:0.506249:0.913876:0.491192:0.913876:0.000000:0.000000
6:@0.506192:0.924218:0.511429:0.924218:0.511429:0.914637:0.506192:0.914637:0.000000
   128:@0.511383:0.930282:0.561340:0.930282:0.561340:0.913849:0.511383:0.913849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.515340:0.929728:0.530674:0.929728:0.530674:0.916012:0.515340:0.916012:0.000000
y:@0.561230:0.930282:0.568703:0.930282:0.568703:0.913876:0.561230:0.913876:0.000000
7:@0.568638:0.924218:0.573875:0.924218:0.573875:0.914637:0.568638:0.914637:0.000000
En los coeficientes de los :@0.740294:0.450395:0.908143:0.450395:0.908143:0.435455:0.740294:0.435455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos del desarrollo de :@0.740294:0.465524:0.916558:0.465524:0.916558:0.450584:0.740294:0.450584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los binomios, la simetría :@0.740294:0.480653:0.901730:0.480653:0.901730:0.465713:0.740294:0.465713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se obtiene es similar a :@0.740294:0.495782:0.917957:0.495782:0.917957:0.480842:0.740294:0.480842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los números dispuestos en :@0.740294:0.510911:0.920220:0.510911:0.920220:0.495971:0.740294:0.495971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el triángulo de Pascal.:@0.740294:0.526040:0.882480:0.526040:0.882480:0.511100:0.740294:0.511100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si el binomio tiene signo :@0.740294:0.541168:0.907090:0.541168:0.907090:0.526229:0.740294:0.526229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negativo, en el desarrollo :@0.740294:0.556297:0.909179:0.556297:0.909179:0.541358:0.740294:0.541358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se escriben los signos :@0.740294:0.571426:0.886099:0.571426:0.886099:0.556487:0.740294:0.556487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alternadamente.:@0.740294:0.586555:0.848702:0.586555:0.848702:0.571615:0.740294:0.571615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.797192:0.602543:0.802909:0.602543:0.802909:0.592085:0.797192:0.592085:0.000000
(     ):@0.878696:0.601899:0.908215:0.601899:0.908215:0.591441:0.878696:0.591441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.881707:0.601899:0.886451:0.601899:0.886451:0.591458:0.881707:0.591458:0.000000
1:@0.888583:0.601546:0.898340:0.601546:0.898340:0.592817:0.888583:0.592817:0.000000
y:@0.900437:0.601899:0.905193:0.601899:0.905193:0.591458:0.900437:0.591458:0.000000
0:@0.908108:0.598040:0.911440:0.598040:0.911440:0.591943:0.908108:0.591943:0.000000
(     ):@0.878700:0.613381:0.908218:0.613381:0.908218:0.602924:0.878700:0.602924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.881710:0.613381:0.886454:0.613381:0.886454:0.602941:0.881710:0.602941:0.000000
1:@0.888586:0.613028:0.898343:0.613028:0.898343:0.604300:0.888586:0.604300:0.000000
y:@0.900440:0.613381:0.905196:0.613381:0.905196:0.602941:0.900440:0.602941:0.000000
1:@0.908108:0.609523:0.911440:0.609523:0.911440:0.603426:0.908108:0.603426:0.000000
(     ):@0.878700:0.624866:0.908218:0.624866:0.908218:0.614408:0.878700:0.614408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.881710:0.624866:0.886454:0.624866:0.886454:0.614425:0.881710:0.614425:0.000000
1:@0.888586:0.624513:0.898343:0.624513:0.898343:0.615784:0.888586:0.615784:0.000000
y:@0.900440:0.624866:0.905196:0.624866:0.905196:0.614425:0.900440:0.614425:0.000000
2:@0.908108:0.621007:0.911440:0.621007:0.911440:0.614910:0.908108:0.614910:0.000000
(     ):@0.878700:0.636350:0.908218:0.636350:0.908218:0.625892:0.878700:0.625892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.881710:0.636350:0.886454:0.636350:0.886454:0.625909:0.881710:0.625909:0.000000
1:@0.888586:0.635997:0.898343:0.635997:0.898343:0.627269:0.888586:0.627269:0.000000
y:@0.900440:0.636350:0.905196:0.636350:0.905196:0.625909:0.900440:0.625909:0.000000
3:@0.908108:0.632491:0.911440:0.632491:0.911440:0.626394:0.908108:0.626394:0.000000
(     ):@0.878700:0.647833:0.908218:0.647833:0.908218:0.637375:0.878700:0.637375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.881710:0.647833:0.886454:0.647833:0.886454:0.637392:0.881710:0.637392:0.000000
1:@0.888586:0.647480:0.898343:0.647480:0.898343:0.638751:0.888586:0.638751:0.000000
y:@0.900440:0.647833:0.905196:0.647833:0.905196:0.637392:0.900440:0.637392:0.000000
4:@0.908108:0.643974:0.911440:0.643974:0.911440:0.637877:0.908108:0.637877:0.000000
(     ):@0.878700:0.659317:0.908218:0.659317:0.908218:0.648859:0.878700:0.648859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.881710:0.659317:0.886454:0.659317:0.886454:0.648876:0.881710:0.648876:0.000000
1:@0.888586:0.658964:0.898343:0.658964:0.898343:0.650236:0.888586:0.650236:0.000000
y:@0.900440:0.659317:0.905196:0.659317:0.905196:0.648876:0.900440:0.648876:0.000000
5:@0.908108:0.655458:0.911440:0.655458:0.911440:0.649361:0.908108:0.649361:0.000000
(     ):@0.878700:0.670801:0.908218:0.670801:0.908218:0.660343:0.878700:0.660343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.881710:0.670801:0.886454:0.670801:0.886454:0.660361:0.881710:0.660361:0.000000
1:@0.888586:0.670448:0.898343:0.670448:0.898343:0.661720:0.888586:0.661720:0.000000
y:@0.900440:0.670801:0.905196:0.670801:0.905196:0.660361:0.900440:0.660361:0.000000
6:@0.908108:0.666942:0.911440:0.666942:0.911440:0.660845:0.908108:0.660845:0.000000
1 1:@0.788015:0.612684:0.810881:0.612684:0.810881:0.602226:0.788015:0.602226:0.000000:0.000000:0.000000
1:@0.778844:0.623725:0.784560:0.623725:0.784560:0.613267:0.778844:0.613267:0.000000
1 3 3:@0.771499:0.635780:0.810881:0.635780:0.810881:0.625322:0.771499:0.625322:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.762327:0.647182:0.768044:0.647182:0.768044:0.636724:0.762327:0.636724:0.000000
1:@0.750414:0.659228:0.756131:0.659228:0.756131:0.648771:0.750414:0.648771:0.000000
1:@0.740294:0.671522:0.746010:0.671522:0.746010:0.661064:0.740294:0.661064:0.000000
1:@0.854456:0.671522:0.860172:0.671522:0.860172:0.661064:0.854456:0.661064:0.000000
6 15 20:@0.757735:0.671522:0.805726:0.671522:0.805726:0.661064:0.757735:0.661064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 10 10:@0.768852:0.659228:0.816550:0.659228:0.816550:0.648771:0.768852:0.648771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 6:@0.781280:0.647182:0.803302:0.647182:0.803302:0.636724:0.781280:0.636724:0.000000:0.000000:0.000000
2 1:@0.797175:0.623725:0.818869:0.623725:0.818869:0.613267:0.797175:0.613267:0.000000:0.000000:0.000000
4:@0.813153:0.647182:0.818869:0.647182:0.818869:0.636724:0.813153:0.636724:0.000000
5 1:@0.826261:0.659228:0.848528:0.659228:0.848528:0.648771:0.826261:0.648771:0.000000:0.000000:0.000000
6:@0.837775:0.671522:0.843491:0.671522:0.843491:0.661064:0.837775:0.661064:0.000000
15:@0.816058:0.671522:0.827444:0.671522:0.827444:0.661064:0.816058:0.661064:0.000000:0.000000
1:@0.831836:0.647182:0.837553:0.647182:0.837553:0.636724:0.831836:0.636724:0.000000
1:@0.823356:0.635780:0.829072:0.635780:0.829072:0.625322:0.823356:0.625322:0.000000
Competencia :@0.740294:0.410955:0.848854:0.410955:0.848854:0.394008:0.740294:0.394008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.427597:0.837769:0.427597:0.837769:0.410650:0.740294:0.410650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 7 (Ev. 5) Resuelve problemas utilizando teoremas básicos.:@0.081496:0.973681:0.407751:0.973681:0.407751:0.961729:0.081496:0.961729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@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