29:@0.942817:0.963886:0.964167:0.963886:0.964167:0.945448:0.942817:0.945448:0.000000:0.000000
Racionalización de binomios :@0.096359:0.137532:0.398673:0.137532:0.398673:0.115723:0.096359:0.115723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos :@0.096359:0.162055:0.163905:0.162055:0.163905:0.146942:0.096359:0.146942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observemos ejemplos de racionalización de binomios:@0.096359:0.182530:0.493917:0.182530:0.493917:0.166860:0.096359:0.166860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124848:0.216940:0.144087:0.216940:0.144087:0.199804:0.124848:0.199804:0.000000:0.000000:0.000000
−:@0.189152:0.226930:0.199269:0.226930:0.199269:0.211357:0.189152:0.211357:0.000000
2:@0.189728:0.206097:0.198721:0.206097:0.198721:0.190427:0.189728:0.190427:0.000000
7:@0.175960:0.226253:0.184952:0.226253:0.184952:0.210583:0.175960:0.210583:0.000000
3:@0.214547:0.226253:0.223540:0.226253:0.223540:0.210583:0.214547:0.210583:0.000000
 Para obtener un número racional en el denominador, multiplica :@0.228730:0.216936:0.698741:0.216936:0.698741:0.201266:0.228730:0.201266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el numerador y el denominador por la conjugada del denominador, en :@0.153342:0.239562:0.698745:0.239562:0.698745:0.223893:0.153342:0.223893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este caso, por    7:@0.153342:0.257417:0.289102:0.258678:0.289102:0.243009:0.153342:0.241748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.293303:0.259356:0.303420:0.259356:0.303420:0.243783:0.293303:0.243783:0.000000
3.:@0.318697:0.258678:0.331320:0.258678:0.331320:0.243009:0.318697:0.243009:0.000000:0.000000
 :@0.161484:0.308044:0.220563:0.308044:0.220563:0.291987:0.161484:0.291987:0.000000:0.000000:0.000000:0.000000
:@0.167565:0.308044:0.184518:0.308044:0.184518:0.291987:0.167565:0.291987:0.000000:0.000000
:@0.177608:0.308044:0.186601:0.308044:0.186601:0.291987:0.177608:0.291987:0.000000
:@0.196865:0.308044:0.213818:0.308044:0.213818:0.291987:0.196865:0.291987:0.000000:0.000000
:@0.209009:0.308044:0.218001:0.308044:0.218001:0.291987:0.209009:0.291987:0.000000
−:@0.186030:0.304337:0.196146:0.304337:0.196146:0.288764:0.186030:0.288764:0.000000
=:@0.225815:0.293135:0.235932:0.293135:0.235932:0.277562:0.225815:0.277562:0.000000
−:@0.265969:0.304337:0.276085:0.304337:0.276085:0.288764:0.265969:0.288764:0.000000
⋅:@0.304445:0.293135:0.309052:0.293135:0.309052:0.277562:0.304445:0.277562:0.000000
+:@0.337173:0.284173:0.347290:0.284173:0.347290:0.268600:0.337173:0.268600:0.000000
+:@0.337173:0.304323:0.347290:0.304323:0.347290:0.288750:0.337173:0.288750:0.000000
2:@0.186619:0.283495:0.195612:0.283495:0.195612:0.267825:0.186619:0.267825:0.000000
7:@0.172854:0.303646:0.181846:0.303646:0.181846:0.287976:0.172854:0.287976:0.000000
3:@0.211441:0.303646:0.220434:0.303646:0.220434:0.287976:0.211441:0.287976:0.000000
2:@0.266558:0.283495:0.275551:0.283495:0.275551:0.267825:0.266558:0.267825:0.000000
7:@0.252793:0.303646:0.261786:0.303646:0.261786:0.287976:0.252793:0.287976:0.000000
3:@0.291380:0.303646:0.300373:0.303646:0.300373:0.287976:0.291380:0.287976:0.000000
7:@0.323982:0.283504:0.332975:0.283504:0.332975:0.267834:0.323982:0.267834:0.000000
3:@0.362570:0.283504:0.371562:0.283504:0.371562:0.267834:0.362570:0.267834:0.000000
7:@0.323982:0.303655:0.332975:0.303655:0.332975:0.287985:0.323982:0.287985:0.000000
3:@0.362570:0.303655:0.371562:0.303655:0.371562:0.287985:0.362570:0.287985:0.000000
número:@0.172164:0.316114:0.203946:0.316114:0.203946:0.306632:0.172164:0.306632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracional:@0.171961:0.324129:0.209436:0.324129:0.209436:0.314647:0.171961:0.314647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.377799:0.289947:0.381006:0.289947:0.381006:0.274278:0.377799:0.274278:0.000000
 :@0.124843:0.353899:0.128879:0.353899:0.128879:0.338229:0.124843:0.338229:0.000000
Utiliza el :@0.153332:0.353899:0.218677:0.353899:0.218677:0.338229:0.153332:0.338229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto notable (  +  )(  –  ) =  ² –  ² para obtener el resultado :@0.218363:0.353899:0.698735:0.353899:0.698735:0.338229:0.218363:0.338229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.356276:0.353899:0.365545:0.353899:0.365545:0.337538:0.356276:0.337538:0.000000
b a b:@0.383972:0.353899:0.438205:0.353899:0.438205:0.337538:0.383972:0.337538:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.461516:0.353899:0.470785:0.353899:0.470785:0.337538:0.461516:0.337538:0.000000
b:@0.492714:0.353899:0.501983:0.353899:0.501983:0.337538:0.492714:0.337538:0.000000
del denomin:@0.153332:0.370495:0.247700:0.370495:0.247700:0.354825:0.153332:0.354825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ador.:@0.247700:0.370495:0.283708:0.370495:0.283708:0.354825:0.247700:0.354825:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096354:0.526224:0.100390:0.526224:0.100390:0.510555:0.096354:0.510555:0.000000
 :@0.161484:0.426231:0.220563:0.426231:0.220563:0.410174:0.161484:0.410174:0.000000:0.000000:0.000000:0.000000
:@0.167565:0.426231:0.184518:0.426231:0.184518:0.410174:0.167565:0.410174:0.000000:0.000000
:@0.177608:0.426231:0.186601:0.426231:0.186601:0.410174:0.177608:0.410174:0.000000
:@0.196865:0.426231:0.213818:0.426231:0.213818:0.410174:0.196865:0.410174:0.000000:0.000000
:@0.209009:0.426231:0.218001:0.426231:0.218001:0.410174:0.209009:0.410174:0.000000
:@0.464389:0.493615:0.471686:0.493615:0.471686:0.477558:0.464389:0.477558:0.000000
(:@0.410100:0.404500:0.416236:0.404500:0.416236:0.376313:0.410100:0.376313:0.000000
):@0.478208:0.404500:0.484344:0.404500:0.484344:0.376313:0.478208:0.376313:0.000000
( ) ( ):@0.391411:0.431965:0.485812:0.431965:0.485812:0.403778:0.391411:0.403778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.241738:0.473691:0.247874:0.473691:0.247874:0.445504:0.241738:0.445504:0.000000
) (:@0.309846:0.473691:0.350645:0.473691:0.350645:0.445504:0.309846:0.445504:0.000000:0.000000:0.000000
):@0.412617:0.473691:0.418754:0.473691:0.418754:0.445504:0.412617:0.445504:0.000000
−:@0.186036:0.422525:0.196153:0.422525:0.196153:0.406952:0.186036:0.406952:0.000000
=:@0.225821:0.411322:0.235938:0.411322:0.235938:0.395749:0.225821:0.395749:0.000000
−:@0.265975:0.422525:0.276092:0.422525:0.276092:0.406952:0.265975:0.406952:0.000000
⋅:@0.304452:0.411322:0.309059:0.411322:0.309059:0.395749:0.304452:0.395749:0.000000
+:@0.337180:0.402360:0.347296:0.402360:0.347296:0.386787:0.337180:0.386787:0.000000
+:@0.337180:0.422511:0.347296:0.422511:0.347296:0.406938:0.337180:0.406938:0.000000
=:@0.376965:0.411308:0.387082:0.411308:0.387082:0.395735:0.376965:0.395735:0.000000
+:@0.442254:0.398820:0.452371:0.398820:0.452371:0.383247:0.442254:0.383247:0.000000
−:@0.437279:0.426287:0.447395:0.426287:0.447395:0.410714:0.437279:0.410714:0.000000
=:@0.217345:0.480501:0.227462:0.480501:0.227462:0.464929:0.217345:0.464929:0.000000
+:@0.273881:0.468013:0.283998:0.468013:0.283998:0.452440:0.273881:0.452440:0.000000
−:@0.268905:0.490999:0.279022:0.490999:0.279022:0.475426:0.268905:0.475426:0.000000
=:@0.320097:0.480501:0.330214:0.480501:0.330214:0.464929:0.320097:0.464929:0.000000
+:@0.376633:0.468013:0.386750:0.468013:0.386750:0.452440:0.376633:0.452440:0.000000
=:@0.422868:0.480501:0.432985:0.480501:0.432985:0.464929:0.422868:0.464929:0.000000
+:@0.463022:0.471539:0.473139:0.471539:0.473139:0.455966:0.463022:0.455966:0.000000
2:@0.186607:0.401669:0.195600:0.401669:0.195600:0.385999:0.186607:0.385999:0.000000
7:@0.172842:0.421819:0.181835:0.421819:0.181835:0.406150:0.172842:0.406150:0.000000
3:@0.211429:0.421819:0.220422:0.421819:0.220422:0.406150:0.211429:0.406150:0.000000
2:@0.266547:0.401669:0.275539:0.401669:0.275539:0.385999:0.266547:0.385999:0.000000
7:@0.252781:0.421819:0.261774:0.421819:0.261774:0.406150:0.252781:0.406150:0.000000
3:@0.291369:0.421819:0.300361:0.421819:0.300361:0.406150:0.291369:0.406150:0.000000
7:@0.323985:0.401669:0.332978:0.401669:0.332978:0.385999:0.323985:0.385999:0.000000
3:@0.362573:0.401669:0.371566:0.401669:0.371566:0.385999:0.362573:0.385999:0.000000
7:@0.323985:0.421819:0.332978:0.421819:0.332978:0.406150:0.323985:0.406150:0.000000
3:@0.362573:0.421819:0.371566:0.421819:0.371566:0.406150:0.362573:0.406150:0.000000
2:@0.400571:0.398128:0.409563:0.398128:0.409563:0.382458:0.400571:0.382458:0.000000
7:@0.429060:0.398128:0.438053:0.398128:0.438053:0.382458:0.429060:0.382458:0.000000
3:@0.467629:0.398128:0.476622:0.398128:0.476622:0.382458:0.467629:0.382458:0.000000
7:@0.410363:0.425619:0.419355:0.425619:0.419355:0.409949:0.410363:0.409949:0.000000
3:@0.469110:0.425619:0.478103:0.425619:0.478103:0.409949:0.469110:0.409949:0.000000
2:@0.232211:0.467346:0.241204:0.467346:0.241204:0.451677:0.232211:0.451677:0.000000
7:@0.260700:0.467346:0.269693:0.467346:0.269693:0.451677:0.260700:0.451677:0.000000
3:@0.299269:0.467346:0.308262:0.467346:0.308262:0.451677:0.299269:0.451677:0.000000
73:@0.257180:0.490332:0.290774:0.490332:0.290774:0.474663:0.257180:0.474663:0.000000:0.000000
2:@0.334982:0.467346:0.343974:0.467346:0.343974:0.451677:0.334982:0.451677:0.000000
7:@0.363471:0.467346:0.372464:0.467346:0.372464:0.451677:0.363471:0.451677:0.000000
3:@0.402040:0.467346:0.411033:0.467346:0.411033:0.451677:0.402040:0.451677:0.000000
4:@0.372261:0.490332:0.381254:0.490332:0.381254:0.474663:0.372261:0.474663:0.000000
7:@0.449835:0.470882:0.458827:0.470882:0.458827:0.455212:0.449835:0.455212:0.000000
3:@0.488422:0.470882:0.497415:0.470882:0.497415:0.455212:0.488422:0.455212:0.000000
2:@0.463603:0.490331:0.472596:0.490331:0.472596:0.474661:0.463603:0.474661:0.000000
.:@0.500459:0.479834:0.503665:0.479834:0.503665:0.464164:0.500459:0.464164:0.000000
número:@0.172164:0.434303:0.203946:0.434303:0.203946:0.424821:0.172164:0.424821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracional:@0.171961:0.442318:0.209436:0.442318:0.209436:0.432836:0.171961:0.432836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número:@0.451511:0.501687:0.483294:0.501687:0.483294:0.492205:0.451511:0.492205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional:@0.451511:0.509703:0.484127:0.509703:0.484127:0.500221:0.451511:0.500221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.427743:0.413046:0.432955:0.413046:0.432955:0.403964:0.427743:0.403964:0.000000
2:@0.485702:0.413046:0.490913:0.413046:0.490913:0.403964:0.485702:0.403964:0.000000
b) :@0.124851:0.562529:0.145232:0.562529:0.145232:0.545393:0.124851:0.545393:0.000000:0.000000:0.000000
( ) ( ):@0.404734:0.582587:0.502529:0.582587:0.502529:0.554400:0.404734:0.554400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.190670:0.573147:0.200787:0.573147:0.200787:0.557574:0.190670:0.557574:0.000000
=:@0.232335:0.561944:0.242452:0.561944:0.242452:0.546371:0.232335:0.546371:0.000000
+:@0.274000:0.573147:0.284116:0.573147:0.284116:0.557574:0.274000:0.557574:0.000000
⋅:@0.314356:0.561944:0.318963:0.561944:0.318963:0.546371:0.314356:0.546371:0.000000
−:@0.348595:0.552678:0.358712:0.552678:0.358712:0.537105:0.348595:0.537105:0.000000
−:@0.348595:0.573147:0.358712:0.573147:0.358712:0.557574:0.348595:0.557574:0.000000
=:@0.390260:0.561944:0.400376:0.561944:0.400376:0.546371:0.390260:0.546371:0.000000
−:@0.452084:0.552678:0.462201:0.552678:0.462201:0.537105:0.452084:0.537105:0.000000
−:@0.452084:0.576923:0.462201:0.576923:0.462201:0.561350:0.452084:0.561350:0.000000
=:@0.513909:0.561958:0.524026:0.561958:0.524026:0.546385:0.513909:0.546385:0.000000
−:@0.555574:0.552692:0.565691:0.552692:0.565691:0.537119:0.555574:0.537119:0.000000
−:@0.555574:0.572455:0.565691:0.572455:0.565691:0.556882:0.555574:0.556882:0.000000
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−:@0.299244:0.625326:0.309361:0.625326:0.309361:0.609753:0.299244:0.609753:0.000000
−:@0.299244:0.645477:0.309361:0.645477:0.309361:0.629904:0.299244:0.629904:0.000000
=:@0.339398:0.634274:0.349514:0.634274:0.349514:0.618701:0.339398:0.618701:0.000000
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−:@0.385780:0.649253:0.395897:0.649253:0.395897:0.633680:0.385780:0.633680:0.000000
=:@0.446094:0.634288:0.456210:0.634288:0.456210:0.618715:0.446094:0.618715:0.000000
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−:@0.495461:0.644785:0.505578:0.644785:0.505578:0.629213:0.495461:0.629213:0.000000
=:@0.543318:0.634288:0.553435:0.634288:0.553435:0.618715:0.543318:0.618715:0.000000
−:@0.593939:0.621799:0.604055:0.621799:0.604055:0.606227:0.593939:0.606227:0.000000
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2:@0.287892:0.624662:0.296885:0.624662:0.296885:0.608993:0.287892:0.608993:0.000000
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7:@0.417181:0.648589:0.426173:0.648589:0.426173:0.632919:0.417181:0.632919:0.000000
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7:@0.521684:0.621122:0.530677:0.621122:0.530677:0.605452:0.521684:0.605452:0.000000
47:@0.483354:0.644108:0.516893:0.644108:0.516893:0.628438:0.483354:0.628438:0.000000:0.000000
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7:@0.618911:0.621121:0.627904:0.621121:0.627904:0.605451:0.618911:0.605451:0.000000
3:@0.598068:0.644105:0.607061:0.644105:0.607061:0.628435:0.598068:0.628435:0.000000
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2:@0.376255:0.639155:0.381466:0.639155:0.381466:0.630074:0.376255:0.630074:0.000000
2:@0.434576:0.636013:0.439788:0.636013:0.439788:0.626932:0.434576:0.626932:0.000000
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21:@0.184136:0.719032:0.215648:0.719032:0.215648:0.703362:0.184136:0.703362:0.000000:0.000000
6:@0.255654:0.695893:0.264647:0.695893:0.264647:0.680224:0.255654:0.680224:0.000000
21:@0.257534:0.719032:0.289045:0.719032:0.289045:0.703362:0.257534:0.703362:0.000000:0.000000
21:@0.329623:0.690818:0.361134:0.690818:0.361134:0.675148:0.329623:0.675148:0.000000:0.000000
21:@0.329623:0.722683:0.361134:0.722683:0.361134:0.707013:0.329623:0.707013:0.000000:0.000000
6:@0.392074:0.690818:0.401067:0.690818:0.401067:0.675148:0.392074:0.675148:0.000000
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21:@0.428045:0.722683:0.459556:0.722683:0.459556:0.707013:0.428045:0.707013:0.000000:0.000000
6:@0.495158:0.690818:0.504151:0.690818:0.504151:0.675148:0.495158:0.675148:0.000000
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21:@0.529139:0.716044:0.560650:0.716044:0.560650:0.700374:0.529139:0.700374:0.000000:0.000000
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21:@0.284143:0.783550:0.315655:0.783550:0.315655:0.767880:0.284143:0.767880:0.000000:0.000000
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6:@0.401472:0.758323:0.410465:0.758323:0.410465:0.742654:0.401472:0.742654:0.000000
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21:@0.494919:0.758323:0.526430:0.758323:0.526430:0.742654:0.494919:0.742654:0.000000:0.000000
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6:@0.555914:0.771919:0.564907:0.771919:0.564907:0.756249:0.555914:0.756249:0.000000
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3:@0.161213:0.711689:0.166424:0.711689:0.166424:0.702607:0.161213:0.702607:0.000000
3:@0.234614:0.711689:0.239825:0.711689:0.239825:0.702607:0.234614:0.702607:0.000000
2:@0.364959:0.678369:0.370171:0.678369:0.370171:0.669288:0.364959:0.669288:0.000000
3:@0.300198:0.685992:0.305409:0.685992:0.305409:0.676910:0.300198:0.676910:0.000000
2:@0.364959:0.710238:0.370171:0.710238:0.370171:0.701157:0.364959:0.701157:0.000000
3:@0.300198:0.717860:0.305409:0.717860:0.305409:0.708779:0.300198:0.708779:0.000000
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3:@0.403277:0.686000:0.408489:0.686000:0.408489:0.676918:0.403277:0.676918:0.000000
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3:@0.398611:0.717868:0.403822:0.717868:0.403822:0.708787:0.398611:0.708787:0.000000
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2:@0.326106:0.745890:0.331318:0.745890:0.331318:0.736809:0.326106:0.736809:0.000000
3:@0.261345:0.753512:0.266557:0.753512:0.266557:0.744431:0.261345:0.744431:0.000000
2:@0.530216:0.745890:0.535428:0.745890:0.535428:0.736809:0.530216:0.736809:0.000000
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2:@0.684654:0.759484:0.689866:0.759484:0.689866:0.750402:0.684654:0.750402:0.000000
3:@0.619893:0.767106:0.625105:0.767106:0.625105:0.758025:0.619893:0.758025:0.000000
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):@0.358567:0.697671:0.364704:0.697671:0.364704:0.670263:0.358567:0.670263:0.000000
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):@0.358567:0.729534:0.364704:0.729534:0.364704:0.702125:0.358567:0.702125:0.000000
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) (:@0.456234:0.765169:0.482106:0.765169:0.482106:0.737761:0.456234:0.737761:0.000000:0.000000:0.000000
):@0.523863:0.765169:0.530000:0.765169:0.530000:0.737761:0.523863:0.737761:0.000000
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) (:@0.610676:0.778752:0.636520:0.778767:0.636520:0.751358:0.610676:0.751343:0.000000:0.000000:0.000000
):@0.678277:0.778767:0.684413:0.778767:0.684413:0.751358:0.678277:0.751358:0.000000
+:@0.195920:0.719714:0.206037:0.719714:0.206037:0.704141:0.195920:0.704141:0.000000
=:@0.218383:0.705096:0.228500:0.705096:0.228500:0.689523:0.218383:0.689523:0.000000
+:@0.269317:0.719714:0.279434:0.719714:0.279434:0.704141:0.269317:0.704141:0.000000
⋅:@0.290564:0.705096:0.295171:0.705096:0.295171:0.689523:0.290564:0.689523:0.000000
+:@0.341406:0.691500:0.351523:0.691500:0.351523:0.675928:0.341406:0.675928:0.000000
+:@0.341406:0.723365:0.351523:0.723365:0.351523:0.707793:0.341406:0.707793:0.000000
=:@0.377580:0.705096:0.387697:0.705096:0.387697:0.689523:0.377580:0.689523:0.000000
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+:@0.439828:0.723365:0.449945:0.723365:0.449945:0.707793:0.439828:0.707793:0.000000
=:@0.480664:0.705096:0.490781:0.705096:0.490781:0.689523:0.480664:0.689523:0.000000
+:@0.547575:0.691500:0.557691:0.691500:0.557691:0.675928:0.547575:0.675928:0.000000
+:@0.540922:0.716727:0.551039:0.716727:0.551039:0.701154:0.540922:0.701154:0.000000
=:@0.235669:0.772601:0.245785:0.772601:0.245785:0.757028:0.235669:0.757028:0.000000
+:@0.302579:0.759006:0.312696:0.759006:0.312696:0.743433:0.302579:0.743433:0.000000
+:@0.295927:0.784233:0.306044:0.784233:0.306044:0.768660:0.295927:0.768660:0.000000
⋅:@0.337555:0.772601:0.342162:0.772601:0.342162:0.757028:0.337555:0.757028:0.000000
=:@0.386978:0.772601:0.397095:0.772601:0.397095:0.757028:0.386978:0.757028:0.000000
+:@0.506702:0.759006:0.516819:0.759006:0.516819:0.743433:0.506702:0.743433:0.000000
=:@0.542852:0.772599:0.552969:0.772599:0.552969:0.757026:0.542852:0.757026:0.000000
+:@0.661121:0.772599:0.671238:0.772599:0.671238:0.757026:0.661121:0.757026:0.000000
Las personas con :@0.733044:0.577099:0.851081:0.577099:0.851081:0.562853:0.733044:0.562853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dificultades en su :@0.733044:0.592186:0.853209:0.592186:0.853209:0.577941:0.733044:0.577941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
motricidad necesitan el :@0.733044:0.607274:0.893113:0.607274:0.893113:0.593029:0.733044:0.593029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo suficiente para :@0.733044:0.622361:0.886662:0.622361:0.886662:0.608116:0.733044:0.608116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizar su trabajo y sus :@0.733044:0.637449:0.889210:0.637449:0.889210:0.623204:0.733044:0.623204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desplazamientos.:@0.733044:0.652537:0.848583:0.652537:0.848583:0.638291:0.733044:0.638291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DFA:@0.765616:0.552589:0.797974:0.552589:0.797974:0.535688:0.765616:0.535688:0.000000:0.000000:0.000000
Para racionalizar :@0.733044:0.209519:0.843811:0.209519:0.843811:0.195274:0.733044:0.195274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales del tipo :@0.733044:0.224607:0.849842:0.224607:0.849842:0.210362:0.733044:0.210362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
±:@0.763563:0.261942:0.773680:0.261942:0.773680:0.246369:0.763563:0.246369:0.000000
a:@0.763563:0.241109:0.772832:0.241109:0.772832:0.224748:0.763563:0.224748:0.000000
b:@0.749639:0.261265:0.758908:0.261265:0.758908:0.244903:0.749639:0.244903:0.000000
c:@0.789313:0.261265:0.796979:0.261265:0.796979:0.244903:0.789313:0.244903:0.000000
,:@0.802147:0.250067:0.805354:0.250067:0.805354:0.234397:0.802147:0.234397:0.000000
con   > 0,   > 0,:@0.733044:0.279318:0.837964:0.279318:0.837964:0.265073:0.733044:0.265073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.762076:0.279318:0.770502:0.279318:0.770502:0.264444:0.762076:0.264444:0.000000
c:@0.802583:0.279318:0.809552:0.279318:0.809552:0.264444:0.802583:0.264444:0.000000
multiplica el numerador :@0.733044:0.301535:0.897184:0.301535:0.897184:0.287290:0.733044:0.287290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y el denominador :@0.733044:0.316622:0.855001:0.316622:0.855001:0.302377:0.733044:0.302377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por la conjugada del :@0.733044:0.331710:0.874049:0.331710:0.874049:0.317465:0.733044:0.317465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador. :@0.733044:0.346798:0.830776:0.346798:0.830776:0.332552:0.733044:0.332552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así::@0.733044:0.369014:0.755375:0.369014:0.755375:0.354769:0.733044:0.354769:0.000000:0.000000:0.000000:0.000000
+:@0.761732:0.395992:0.771849:0.395992:0.771849:0.380419:0.761732:0.380419:0.000000
b:@0.748170:0.395314:0.757439:0.395314:0.757439:0.378953:0.748170:0.378953:0.000000
c:@0.787494:0.395314:0.795160:0.395314:0.795160:0.378953:0.787494:0.378953:0.000000
, la conjugada :@0.800053:0.393743:0.896413:0.393743:0.896413:0.379497:0.800053:0.379497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es::@0.733044:0.411345:0.750332:0.411345:0.750332:0.397100:0.733044:0.397100:0.000000:0.000000:0.000000
−:@0.779019:0.413594:0.789136:0.413594:0.789136:0.398021:0.779019:0.398021:0.000000
b:@0.765456:0.412917:0.774725:0.412917:0.774725:0.396555:0.765456:0.396555:0.000000
c:@0.804781:0.412917:0.812447:0.412917:0.812447:0.396555:0.804781:0.396555:0.000000
. :@0.817340:0.411345:0.823924:0.411345:0.823924:0.397100:0.817340:0.397100:0.000000:0.000000
Y la conjugada de:@0.733042:0.433561:0.852152:0.433561:0.852152:0.419316:0.733042:0.419316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.761732:0.460539:0.771849:0.460539:0.771849:0.444966:0.761732:0.444966:0.000000
b:@0.748170:0.459862:0.757439:0.459862:0.757439:0.443500:0.748170:0.443500:0.000000
c:@0.787494:0.459862:0.795160:0.459862:0.795160:0.443500:0.787494:0.443500:0.000000
es::@0.800053:0.459547:0.817342:0.459547:0.817342:0.445302:0.800053:0.445302:0.000000:0.000000:0.000000
+:@0.846029:0.460539:0.856145:0.460539:0.856145:0.444966:0.846029:0.444966:0.000000
b:@0.832466:0.459862:0.841735:0.459862:0.841735:0.443500:0.832466:0.443500:0.000000
c:@0.871791:0.459862:0.879456:0.459862:0.879456:0.443500:0.871791:0.443500:0.000000
.:@0.881207:0.459862:0.884413:0.459862:0.884413:0.444192:0.881207:0.444192:0.000000
 :@0.887700:0.459547:0.891369:0.459547:0.891369:0.445302:0.887700:0.445302:0.000000
¿Sabías que?:@0.765616:0.185008:0.867484:0.185008:0.867484:0.168107:0.765616:0.168107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e):@0.124851:0.836890:0.140367:0.836890:0.140367:0.819754:0.124851:0.819754:0.000000:0.000000
 :@0.140367:0.904783:0.144090:0.904783:0.144090:0.887647:0.140367:0.887647:0.000000
(:@0.520282:0.830479:0.526418:0.830479:0.526418:0.803071:0.520282:0.803071:0.000000
):@0.626351:0.830479:0.632488:0.830479:0.632488:0.803071:0.626351:0.803071:0.000000
(:@0.501278:0.858573:0.507414:0.858573:0.507414:0.831164:0.501278:0.831164:0.000000
) (:@0.550756:0.858573:0.584318:0.858573:0.584318:0.831164:0.550756:0.831164:0.000000:0.000000:0.000000
):@0.628065:0.858573:0.634201:0.858573:0.634201:0.831164:0.628065:0.831164:0.000000
(:@0.296741:0.883208:0.302877:0.883208:0.302877:0.855800:0.296741:0.855800:0.000000
) (:@0.402811:0.883208:0.443959:0.883208:0.443959:0.855800:0.402811:0.855800:0.000000:0.000000:0.000000
):@0.543893:0.883208:0.550029:0.883208:0.550029:0.855800:0.543893:0.855800:0.000000
+−:@0.180417:0.848750:0.216185:0.848750:0.216185:0.833177:0.180417:0.833177:0.000000:0.000000
=:@0.261831:0.836966:0.271948:0.836966:0.271948:0.821393:0.261831:0.821393:0.000000
+−:@0.295387:0.848750:0.331156:0.848750:0.331156:0.833177:0.295387:0.833177:0.000000:0.000000
⋅:@0.375216:0.836966:0.379823:0.836966:0.379823:0.821393:0.375216:0.821393:0.000000
++:@0.401862:0.828405:0.437207:0.828405:0.437207:0.812833:0.401862:0.812833:0.000000:0.000000
−:@0.458454:0.828405:0.468570:0.828405:0.468570:0.812833:0.458454:0.812833:0.000000
++:@0.401862:0.848764:0.437207:0.848764:0.437207:0.833191:0.401862:0.833191:0.000000:0.000000
−:@0.458454:0.848764:0.468570:0.848764:0.468570:0.833191:0.458454:0.833191:0.000000
=:@0.486722:0.836980:0.496838:0.836980:0.496838:0.821407:0.486722:0.821407:0.000000
++:@0.545727:0.824326:0.581071:0.824326:0.581071:0.808753:0.545727:0.808753:0.000000:0.000000
−:@0.602318:0.824326:0.612435:0.824326:0.612435:0.808753:0.602318:0.808753:0.000000
+:@0.526728:0.852415:0.536845:0.852415:0.536845:0.836842:0.526728:0.836842:0.000000
−:@0.566255:0.852415:0.576372:0.852415:0.576372:0.836842:0.566255:0.836842:0.000000
−:@0.604050:0.852415:0.614167:0.852415:0.614167:0.836842:0.604050:0.836842:0.000000
=:@0.265701:0.889701:0.275817:0.889701:0.275817:0.874128:0.265701:0.874128:0.000000
++:@0.322181:0.877047:0.357525:0.877047:0.357525:0.861474:0.322181:0.861474:0.000000:0.000000
−:@0.378773:0.877047:0.388889:0.877047:0.388889:0.861474:0.378773:0.861474:0.000000
+− +:@0.318717:0.900655:0.371457:0.900655:0.371457:0.885082:0.318717:0.885082:0.000000:0.000000:0.000000:0.000000
=:@0.413490:0.889688:0.423607:0.889688:0.423607:0.874115:0.413490:0.874115:0.000000
++:@0.463282:0.877033:0.498626:0.877033:0.498626:0.861460:0.463282:0.861460:0.000000:0.000000
−:@0.519873:0.877033:0.529990:0.877033:0.529990:0.861460:0.519873:0.861460:0.000000
x:@0.193833:0.848072:0.201296:0.848072:0.201296:0.831711:0.193833:0.831711:0.000000
x:@0.246978:0.848072:0.254441:0.848072:0.254441:0.831711:0.246978:0.831711:0.000000
x:@0.308803:0.848072:0.316266:0.848072:0.316266:0.831711:0.308803:0.831711:0.000000
x:@0.361948:0.848072:0.369411:0.848072:0.369411:0.831711:0.361948:0.831711:0.000000
x:@0.415278:0.827714:0.422741:0.827714:0.422741:0.811353:0.415278:0.811353:0.000000
x:@0.471869:0.827714:0.479332:0.827714:0.479332:0.811353:0.471869:0.811353:0.000000
x:@0.415278:0.848072:0.422741:0.848072:0.422741:0.831711:0.415278:0.831711:0.000000
x:@0.471869:0.848072:0.479332:0.848072:0.479332:0.831711:0.471869:0.831711:0.000000
x:@0.559142:0.823634:0.566605:0.823634:0.566605:0.807273:0.559142:0.807273:0.000000
x:@0.615734:0.823634:0.623197:0.823634:0.623197:0.807273:0.615734:0.807273:0.000000
x:@0.540123:0.851727:0.547586:0.851727:0.547586:0.835366:0.540123:0.835366:0.000000
x:@0.617446:0.851727:0.624909:0.851727:0.624909:0.835366:0.617446:0.835366:0.000000
x:@0.335587:0.876361:0.343050:0.876361:0.343050:0.860000:0.335587:0.860000:0.000000
x:@0.392178:0.876361:0.399641:0.876361:0.399641:0.860000:0.392178:0.860000:0.000000
x:@0.332141:0.899970:0.339604:0.899970:0.339604:0.883609:0.332141:0.883609:0.000000
x:@0.374764:0.899970:0.382227:0.899970:0.382227:0.883609:0.374764:0.883609:0.000000
x:@0.476687:0.876361:0.484150:0.876361:0.484150:0.860000:0.476687:0.860000:0.000000
x:@0.533278:0.876361:0.540741:0.876361:0.540741:0.860000:0.533278:0.860000:0.000000
x:@0.489715:0.899970:0.497178:0.899970:0.497178:0.883609:0.489715:0.883609:0.000000
.:@0.149844:0.836285:0.153051:0.836285:0.153051:0.820615:0.149844:0.820615:0.000000
3:@0.205127:0.827720:0.214120:0.827720:0.214120:0.812050:0.205127:0.812050:0.000000
1:@0.172768:0.848078:0.181761:0.848078:0.181761:0.832409:0.172768:0.832409:0.000000
1-:@0.229360:0.848078:0.243272:0.848078:0.243272:0.832409:0.229360:0.832409:0.000000:0.000000
3:@0.320079:0.827720:0.329072:0.827720:0.329072:0.812050:0.320079:0.812050:0.000000
1:@0.287720:0.848078:0.296713:0.848078:0.296713:0.832409:0.287720:0.832409:0.000000
1-:@0.344311:0.848078:0.358224:0.848078:0.358224:0.832409:0.344311:0.832409:0.000000:0.000000
1:@0.394195:0.827720:0.403187:0.827720:0.403187:0.812050:0.394195:0.812050:0.000000
1:@0.450362:0.827720:0.459355:0.827720:0.459355:0.812050:0.450362:0.812050:0.000000
1:@0.394195:0.848078:0.403187:0.848078:0.403187:0.832409:0.394195:0.832409:0.000000
1:@0.450362:0.848078:0.459355:0.848078:0.459355:0.832409:0.450362:0.832409:0.000000
3:@0.510473:0.823640:0.519466:0.823640:0.519466:0.807971:0.510473:0.807971:0.000000
1:@0.538059:0.823640:0.547052:0.823640:0.547052:0.807971:0.538059:0.807971:0.000000
1:@0.594227:0.823640:0.603219:0.823640:0.603219:0.807971:0.594227:0.807971:0.000000
1:@0.519077:0.851727:0.528070:0.851727:0.528070:0.836057:0.519077:0.836057:0.000000
1:@0.595976:0.851727:0.604968:0.851727:0.604968:0.836057:0.595976:0.836057:0.000000
3:@0.286953:0.876361:0.295945:0.876361:0.295945:0.860692:0.286953:0.860692:0.000000
1:@0.314539:0.876361:0.323532:0.876361:0.323532:0.860692:0.314539:0.860692:0.000000
1:@0.370706:0.876361:0.379699:0.876361:0.379699:0.860692:0.370706:0.860692:0.000000
1:@0.311074:0.899970:0.320067:0.899970:0.320067:0.884300:0.311074:0.884300:0.000000
1:@0.353698:0.899970:0.362690:0.899970:0.362690:0.884300:0.353698:0.884300:0.000000
3:@0.428035:0.876361:0.437027:0.876361:0.437027:0.860692:0.428035:0.860692:0.000000
1:@0.455621:0.876361:0.464613:0.876361:0.464613:0.860692:0.455621:0.860692:0.000000
1:@0.511788:0.876361:0.520781:0.876361:0.520781:0.860692:0.511788:0.860692:0.000000
2:@0.479429:0.899970:0.488422:0.899970:0.488422:0.884300:0.479429:0.884300:0.000000
.:@0.552403:0.889002:0.555609:0.889002:0.555609:0.873333:0.552403:0.873333:0.000000
2:@0.557137:0.839272:0.562349:0.839272:0.562349:0.830191:0.557137:0.830191:0.000000
2:@0.634458:0.839272:0.639669:0.839272:0.639669:0.830191:0.634458:0.830191:0.000000
 :@0.673670:0.904784:0.677706:0.904784:0.677706:0.889114:0.673670:0.889114:0.000000
Para conocer :@0.733044:0.758433:0.823256:0.758433:0.823256:0.744188:0.733044:0.744188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más acerca de la :@0.733044:0.773520:0.846724:0.773520:0.846724:0.759275:0.733044:0.759275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionalización de :@0.733044:0.788608:0.856911:0.788608:0.856911:0.774363:0.733044:0.774363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
binomios, :@0.733044:0.803696:0.802466:0.803696:0.802466:0.789450:0.733044:0.789450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingresa:@0.802466:0.803696:0.853358:0.803696:0.853358:0.788583:0.802466:0.788583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a::@0.853358:0.803696:0.867547:0.803696:0.867547:0.789450:0.853358:0.789450:0.000000:0.000000:0.000000
lynk.ec/10m03:@0.733044:0.825912:0.831196:0.825912:0.831196:0.810787:0.733044:0.810787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.749528:0.733483:0.900430:0.733483:0.900430:0.716582:0.749528:0.716582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000