﻿109:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
Representación :@0.734997:0.168717:0.842464:0.168717:0.842464:0.154472:0.734997:0.154472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geométrica del cubo :@0.734997:0.183805:0.878128:0.183805:0.878128:0.169560:0.734997:0.169560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del binomio:@0.734997:0.198892:0.816230:0.198892:0.816230:0.184647:0.734997:0.184647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (a + b)3:@0.816230:0.198892:0.865398:0.198892:0.865398:0.184019:0.816230:0.184019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.734997:0.221109:0.738666:0.221109:0.738666:0.206864:0.734997:0.206864:0.000000
Recuerda que...:@0.765049:0.143692:0.887131:0.143692:0.887131:0.126791:0.765049:0.126791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.095800:0.216055:0.165306:0.216055:0.165306:0.200942:0.095800:0.200942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtener los productos notables.:@0.095800:0.240093:0.332131:0.240093:0.332131:0.224423:0.095800:0.224423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124289:0.279938:0.139805:0.279938:0.139805:0.262802:0.124289:0.262802:0.000000:0.000000
 :@0.139806:0.284972:0.143529:0.284972:0.143529:0.267837:0.139806:0.267837:0.000000
+:@0.182310:0.280618:0.192427:0.280618:0.192427:0.265045:0.182310:0.265045:0.000000
−:@0.236230:0.280618:0.246347:0.280618:0.246347:0.265045:0.236230:0.265045:0.000000
x:@0.170959:0.279941:0.178422:0.279941:0.178422:0.263579:0.170959:0.263579:0.000000
x:@0.224878:0.279941:0.232342:0.279941:0.232342:0.263579:0.224878:0.263579:0.000000
(2:@0.155001:0.279941:0.169706:0.279941:0.169706:0.264271:0.155001:0.264271:0.000000:0.000000
3)(2:@0.195210:0.279941:0.223625:0.279941:0.223625:0.264271:0.195210:0.264271:0.000000:0.000000:0.000000:0.000000
4):@0.249866:0.279941:0.265014:0.279941:0.265014:0.264271:0.249866:0.264271:0.000000:0.000000
 :@0.268376:0.284970:0.272098:0.284970:0.272098:0.267834:0.268376:0.267834:0.000000
 :@0.276724:0.290004:0.280446:0.290004:0.280446:0.272868:0.276724:0.272868:0.000000
b)    :@0.337037:0.277432:0.368585:0.277432:0.368585:0.260297:0.337037:0.260297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.387482:0.267453:0.396475:0.267453:0.396475:0.251783:0.387482:0.251783:0.000000
5:@0.387685:0.286788:0.396677:0.286788:0.396677:0.271118:0.387685:0.271118:0.000000
m:@0.398684:0.276332:0.413316:0.276332:0.413316:0.260939:0.398684:0.260939:0.000000
3:@0.428055:0.276332:0.437047:0.276332:0.437047:0.260662:0.428055:0.260662:0.000000
n:@0.436789:0.276332:0.446298:0.276332:0.446298:0.260939:0.436789:0.260939:0.000000
2:@0.467423:0.267453:0.476416:0.267453:0.476416:0.251783:0.467423:0.251783:0.000000
5:@0.467626:0.286788:0.476618:0.286788:0.476618:0.271118:0.467626:0.271118:0.000000
x n:@0.480091:0.276332:0.513577:0.276332:0.513577:0.260939:0.480091:0.260939:0.000000:0.000000:0.000000
Solución:@0.095800:0.311900:0.156461:0.311900:0.156461:0.296787:0.095800:0.296787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124292:0.337196:0.143530:0.337196:0.143530:0.320060:0.124292:0.320060:0.000000:0.000000:0.000000
+:@0.182310:0.337873:0.192427:0.337873:0.192427:0.322300:0.182310:0.322300:0.000000
−:@0.236230:0.337873:0.246347:0.337873:0.246347:0.322300:0.236230:0.322300:0.000000
=:@0.267741:0.337873:0.277858:0.337873:0.277858:0.322300:0.267741:0.322300:0.000000
+:@0.320610:0.337873:0.330727:0.337873:0.330727:0.322300:0.320610:0.322300:0.000000
−:@0.349726:0.337873:0.359842:0.337873:0.359842:0.322300:0.349726:0.322300:0.000000
+:@0.390985:0.337873:0.401102:0.337873:0.401102:0.322300:0.390985:0.322300:0.000000
−=:@0.428928:0.337873:0.466888:0.337873:0.466888:0.322300:0.428928:0.322300:0.000000:0.000000
−−:@0.500537:0.337873:0.536361:0.337873:0.536361:0.322300:0.500537:0.322300:0.000000:0.000000
x:@0.170951:0.337196:0.178414:0.337196:0.178414:0.320834:0.170951:0.320834:0.000000
x:@0.224870:0.337196:0.232333:0.337196:0.232333:0.320834:0.224870:0.320834:0.000000
x:@0.296701:0.337196:0.304164:0.337196:0.304164:0.320834:0.296701:0.320834:0.000000
x:@0.379625:0.337196:0.387088:0.337196:0.387088:0.320834:0.379625:0.320834:0.000000
x:@0.481917:0.337196:0.489380:0.337196:0.489380:0.320834:0.481917:0.320834:0.000000
x:@0.514903:0.337196:0.522366:0.337196:0.522366:0.320834:0.514903:0.320834:0.000000
(2:@0.154992:0.337196:0.169698:0.337196:0.169698:0.321526:0.154992:0.321526:0.000000:0.000000
3)(2:@0.195201:0.337196:0.223617:0.337196:0.223617:0.321526:0.195201:0.321526:0.000000:0.000000:0.000000:0.000000
4) (2 ):@0.249858:0.337196:0.311130:0.337196:0.311130:0.321526:0.249858:0.321526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(34):@0.333095:0.337196:0.378501:0.337196:0.378501:0.321526:0.333095:0.321526:0.000000:0.000000:0.000000:0.000000
(3)(4)4:@0.403452:0.337196:0.479927:0.337196:0.479927:0.321526:0.403452:0.321526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.537992:0.337196:0.555775:0.337196:0.555775:0.321526:0.537992:0.321526:0.000000:0.000000
2:@0.311095:0.329535:0.316306:0.329535:0.316306:0.320453:0.311095:0.320453:0.000000
2:@0.491025:0.329535:0.496237:0.329535:0.496237:0.320453:0.491025:0.320453:0.000000
b) :@0.124292:0.374515:0.144673:0.374515:0.144673:0.357379:0.124292:0.357379:0.000000:0.000000:0.000000
2:@0.160573:0.369249:0.169565:0.369249:0.169565:0.352860:0.160573:0.352860:0.000000
5:@0.160775:0.388584:0.169768:0.388584:0.169768:0.372195:0.160775:0.372195:0.000000
m:@0.169777:0.377671:0.184869:0.377671:0.190329:0.361282:0.175236:0.361282:0.000000
3:@0.200778:0.377697:0.209771:0.377697:0.209771:0.361308:0.200778:0.361308:0.000000
n:@0.207157:0.377671:0.217034:0.377671:0.222493:0.361282:0.212616:0.361282:0.000000
2:@0.235854:0.369249:0.244847:0.369249:0.244847:0.352860:0.235854:0.352860:0.000000
5:@0.236057:0.388584:0.245050:0.388584:0.245050:0.372195:0.236057:0.372195:0.000000
m n:@0.244535:0.377671:0.284357:0.377671:0.289816:0.361282:0.249994:0.361282:0.000000:0.000000:0.000000
=:@0.296215:0.378375:0.306332:0.378375:0.306332:0.362802:0.296215:0.362802:0.000000
2:@0.317425:0.369247:0.326418:0.369247:0.326418:0.352858:0.317425:0.352858:0.000000
5:@0.317628:0.388581:0.326621:0.388581:0.326621:0.372193:0.317628:0.372193:0.000000
m:@0.326621:0.377671:0.341714:0.377671:0.347173:0.361282:0.332081:0.361282:0.000000
2:@0.438617:0.369249:0.447610:0.369249:0.447610:0.352860:0.438617:0.352860:0.000000
5:@0.438820:0.388584:0.447813:0.388584:0.447813:0.372195:0.438820:0.372195:0.000000
m:@0.447822:0.377671:0.462914:0.377671:0.468373:0.361282:0.453281:0.361282:0.000000
2:@0.351446:0.359584:0.356658:0.359584:0.356658:0.350086:0.351446:0.350086:0.000000
+:@0.359770:0.378375:0.369887:0.378375:0.369887:0.362802:0.359770:0.362802:0.000000
( 3:@0.371177:0.377697:0.395828:0.377697:0.395828:0.361308:0.371177:0.361308:0.000000:0.000000:0.000000
n n:@0.393212:0.377671:0.426700:0.377671:0.432159:0.361282:0.398672:0.361282:0.000000:0.000000:0.000000
):@0.429449:0.377697:0.434332:0.377697:0.434332:0.361308:0.429449:0.361308:0.000000
+:@0.467502:0.378375:0.477618:0.378375:0.477618:0.362802:0.467502:0.362802:0.000000
( 3 )(:@0.478908:0.377697:0.523068:0.377697:0.523068:0.361308:0.478908:0.361308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.500952:0.377671:0.510829:0.377671:0.516288:0.361282:0.506411:0.361282:0.000000
n:@0.531838:0.377671:0.541716:0.377671:0.547175:0.361282:0.537298:0.361282:0.000000
):@0.546141:0.377697:0.551024:0.377697:0.551024:0.361308:0.546141:0.361308:0.000000
=:@0.274757:0.417431:0.284874:0.417431:0.284874:0.401859:0.274757:0.401859:0.000000
4:@0.292982:0.408303:0.301975:0.408303:0.301975:0.391915:0.292982:0.391915:0.000000
25:@0.288782:0.427636:0.306565:0.427636:0.306565:0.411247:0.288782:0.411247:0.000000:0.000000
8:@0.351674:0.408305:0.360667:0.408305:0.360667:0.391916:0.351674:0.391916:0.000000
5:@0.351674:0.427636:0.360667:0.427636:0.360667:0.411247:0.351674:0.411247:0.000000
m:@0.306363:0.416725:0.321455:0.416725:0.326914:0.400336:0.311822:0.400336:0.000000
2:@0.323962:0.409090:0.329174:0.409090:0.329174:0.399592:0.323962:0.399592:0.000000
mn:@0.365172:0.416725:0.390013:0.416725:0.395472:0.400336:0.370631:0.400336:0.000000:0.000000
+:@0.393503:0.417430:0.403620:0.417430:0.403620:0.401857:0.393503:0.401857:0.000000
3:@0.405333:0.416753:0.414326:0.416753:0.414326:0.400364:0.405333:0.400364:0.000000
n:@0.411712:0.416725:0.421589:0.416725:0.427048:0.400336:0.417171:0.400336:0.000000
2:@0.423920:0.409090:0.429132:0.409090:0.429132:0.399592:0.423920:0.399592:0.000000
Binomio al cubo :@0.095800:0.464901:0.268720:0.464901:0.268720:0.443092:0.095800:0.443092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(a +b)³:@0.268720:0.464901:0.335726:0.464901:0.335726:0.443127:0.268720:0.443127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para obtener el resultado de un binomio al cubo, seguiremos estos pasos::@0.095800:0.487682:0.634248:0.487682:0.634248:0.472012:0.095800:0.472012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.124289:0.511401:0.143031:0.511401:0.143031:0.494265:0.124289:0.494265:0.000000:0.000000:0.000000
Descomponemos la potencia en dos factores: :@0.152779:0.511401:0.492358:0.511401:0.492358:0.495731:0.152779:0.495731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.494562:0.512698:0.500698:0.512698:0.500698:0.492297:0.494562:0.492297:0.000000
):@0.537019:0.512698:0.543155:0.512698:0.543155:0.492297:0.537019:0.492297:0.000000
+:@0.513879:0.510826:0.523996:0.510826:0.523996:0.495253:0.513879:0.495253:0.000000
+:@0.568904:0.510826:0.579021:0.510826:0.579021:0.495253:0.568904:0.495253:0.000000
ab:@0.501787:0.510149:0.536026:0.510149:0.536026:0.493787:0.501787:0.493787:0.000000:0.000000
ab:@0.556807:0.510149:0.591046:0.510149:0.591046:0.493787:0.556807:0.493787:0.000000:0.000000
(:@0.550726:0.510149:0.555609:0.510149:0.555609:0.494479:0.550726:0.494479:0.000000
):@0.592041:0.510149:0.596924:0.510149:0.596924:0.494479:0.592041:0.494479:0.000000
2:@0.543040:0.500719:0.548252:0.500719:0.548252:0.491637:0.543040:0.491637:0.000000
2. :@0.124292:0.535130:0.143033:0.535130:0.143033:0.517994:0.124292:0.517994:0.000000:0.000000:0.000000
Desarrollamos el binomio al cuadrado: :@0.152781:0.535130:0.438518:0.535130:0.438518:0.519460:0.152781:0.519460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.440718:0.538686:0.446854:0.538686:0.446854:0.513458:0.440718:0.513458:0.000000
):@0.541075:0.538686:0.547211:0.538686:0.547211:0.513458:0.541075:0.513458:0.000000
+:@0.467312:0.534550:0.477429:0.534550:0.477429:0.518977:0.467312:0.518977:0.000000
+:@0.510654:0.534550:0.520771:0.534550:0.520771:0.518977:0.510654:0.518977:0.000000
+:@0.565679:0.534550:0.575796:0.534550:0.575796:0.518977:0.565679:0.518977:0.000000
a:@0.447945:0.533873:0.457214:0.533873:0.457214:0.517511:0.447945:0.517511:0.000000
abb:@0.489352:0.533873:0.532804:0.533873:0.532804:0.517511:0.489352:0.517511:0.000000:0.000000:0.000000
ab:@0.553587:0.533873:0.587826:0.533873:0.587826:0.517511:0.553587:0.517511:0.000000:0.000000
2:@0.480190:0.533873:0.489183:0.533873:0.489183:0.518203:0.480190:0.518203:0.000000
(:@0.547506:0.533873:0.552389:0.533873:0.552389:0.518203:0.547506:0.518203:0.000000
):@0.588819:0.533873:0.593702:0.533873:0.593702:0.518203:0.588819:0.518203:0.000000
2:@0.457784:0.526212:0.462995:0.526212:0.462995:0.517130:0.457784:0.517130:0.000000
2:@0.533374:0.526212:0.538586:0.526212:0.538586:0.517130:0.533374:0.517130:0.000000
3. :@0.124292:0.558855:0.143033:0.558855:0.143033:0.541719:0.124292:0.541719:0.000000:0.000000:0.000000
Multiplicamos aplicando la propiedad distributiva::@0.152781:0.558855:0.519559:0.558855:0.519559:0.543185:0.152781:0.543185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.178253:0.584514:0.147700:0.584514:0.147700:0.568941:0.178253:0.568941:0.000000
+:@0.218923:0.584514:0.188370:0.584514:0.188370:0.568941:0.218923:0.568941:0.000000
+:@0.268401:0.584514:0.227897:0.584514:0.227897:0.568941:0.268401:0.568941:0.000000
+:@0.319022:0.584514:0.278518:0.584514:0.278518:0.568941:0.319022:0.568941:0.000000
+:@0.360852:0.584514:0.370969:0.584514:0.370969:0.568941:0.360852:0.568941:0.000000
a:@0.159088:0.583837:0.168357:0.583837:0.168357:0.567475:0.159088:0.567475:0.000000
a b:@0.191503:0.583837:0.216103:0.583837:0.216103:0.567475:0.191503:0.567475:0.000000:0.000000:0.000000
a b:@0.240962:0.583837:0.265582:0.583837:0.265582:0.567475:0.240962:0.567475:0.000000:0.000000:0.000000
ab:@0.290440:0.583837:0.308923:0.583837:0.308923:0.567475:0.290440:0.567475:0.000000:0.000000
ab:@0.332271:0.583837:0.350754:0.583837:0.350754:0.567475:0.332271:0.567475:0.000000:0.000000
b:@0.373733:0.583837:0.383003:0.583837:0.383003:0.567475:0.373733:0.567475:0.000000
2:@0.231804:0.583837:0.240796:0.583837:0.240796:0.568167:0.231804:0.568167:0.000000
2:@0.281282:0.583837:0.290275:0.583837:0.290275:0.568167:0.281282:0.568167:0.000000
3:@0.168935:0.576175:0.174147:0.576175:0.174147:0.567094:0.168935:0.567094:0.000000
2:@0.201337:0.576175:0.206549:0.576175:0.206549:0.567094:0.201337:0.567094:0.000000
2:@0.250816:0.576175:0.256028:0.576175:0.256028:0.567094:0.250816:0.567094:0.000000
2:@0.309501:0.576175:0.314713:0.576175:0.314713:0.567094:0.309501:0.567094:0.000000
2:@0.351327:0.576175:0.356539:0.576175:0.356539:0.567094:0.351327:0.567094:0.000000
3:@0.383580:0.576175:0.388791:0.576175:0.388791:0.567094:0.383580:0.567094:0.000000
4. :@0.124292:0.610075:0.143033:0.610075:0.143033:0.592939:0.124292:0.592939:0.000000:0.000000:0.000000
Reducimos términos semejantes::@0.152781:0.610075:0.395045:0.610075:0.395045:0.594405:0.152781:0.594405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.395049:0.612592:0.399085:0.612592:0.399085:0.596923:0.395049:0.596923:0.000000
+:@0.421228:0.610753:0.382291:0.610753:0.382291:0.595180:0.421228:0.595180:0.000000
+:@0.470283:0.610753:0.431345:0.610753:0.431345:0.595180:0.470283:0.595180:0.000000
+:@0.520479:0.610753:0.530596:0.610753:0.530596:0.595180:0.520479:0.595180:0.000000
a:@0.402063:0.610075:0.411332:0.610075:0.411332:0.593714:0.402063:0.593714:0.000000
a b:@0.442844:0.610075:0.467445:0.610075:0.467445:0.593714:0.442844:0.593714:0.000000:0.000000:0.000000
ab:@0.491898:0.610075:0.510381:0.610075:0.510381:0.593714:0.491898:0.593714:0.000000:0.000000
b:@0.533360:0.610075:0.542629:0.610075:0.542629:0.593714:0.533360:0.593714:0.000000
3:@0.434109:0.610075:0.443102:0.610075:0.443102:0.594405:0.434109:0.594405:0.000000
3:@0.483163:0.610075:0.492156:0.610075:0.492156:0.594405:0.483163:0.594405:0.000000
3:@0.411909:0.602414:0.417120:0.602414:0.417120:0.593333:0.411909:0.593333:0.000000
2:@0.452694:0.602414:0.457906:0.602414:0.457906:0.593333:0.452694:0.593333:0.000000
2:@0.510957:0.602414:0.516169:0.602414:0.516169:0.593333:0.510957:0.593333:0.000000
3:@0.543210:0.602414:0.548422:0.602414:0.548422:0.593333:0.543210:0.593333:0.000000
Ejemplo 2:@0.095800:0.785387:0.165306:0.785387:0.165306:0.770274:0.095800:0.770274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver  5x −:@0.095800:0.815462:0.206454:0.816374:0.206454:0.800705:0.095800:0.799792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.210895:0.807924:0.219888:0.807924:0.219888:0.792254:0.210895:0.792254:0.000000
5:@0.210324:0.827259:0.219317:0.827259:0.219317:0.811589:0.210324:0.811589:0.000000
y:@0.220993:0.816348:0.229101:0.816348:0.234320:0.800678:0.226212:0.800678:0.000000
3:@0.240843:0.798261:0.246055:0.798261:0.246055:0.789180:0.240843:0.789180:0.000000
Solución:@0.095800:0.846011:0.156461:0.846011:0.156461:0.830899:0.095800:0.830899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5x −:@0.107943:0.877990:0.138238:0.877990:0.138238:0.862320:0.107943:0.862320:0.000000:0.000000:0.000000:0.000000
1:@0.142753:0.869111:0.151746:0.869111:0.151746:0.853441:0.142753:0.853441:0.000000
5:@0.142182:0.888445:0.151174:0.888445:0.151174:0.872776:0.142182:0.872776:0.000000
y:@0.154431:0.877990:0.161913:0.877990:0.161913:0.862596:0.154431:0.862596:0.000000
3:@0.173068:0.859719:0.178280:0.859719:0.178280:0.850638:0.173068:0.850638:0.000000
=:@0.182701:0.878667:0.192818:0.878667:0.192818:0.863094:0.182701:0.863094:0.000000
5:@0.202437:0.877990:0.211429:0.877990:0.211429:0.862320:0.202437:0.862320:0.000000
x:@0.212277:0.877990:0.219740:0.877990:0.219740:0.862596:0.212277:0.862596:0.000000
( ):@0.195580:0.880539:0.227939:0.880539:0.227939:0.860138:0.195580:0.860138:0.000000:0.000000:0.000000
3:@0.227828:0.868560:0.233040:0.868560:0.233040:0.859478:0.227828:0.859478:0.000000
3 5:@0.249292:0.877990:0.274040:0.877990:0.274040:0.862320:0.249292:0.862320:0.000000:0.000000:0.000000
x:@0.274888:0.877990:0.282351:0.877990:0.282351:0.862596:0.274888:0.862596:0.000000
( ):@0.258192:0.880539:0.290551:0.880539:0.290551:0.860138:0.258192:0.860138:0.000000:0.000000:0.000000
2:@0.290440:0.868560:0.295652:0.868560:0.295652:0.859478:0.290440:0.859478:0.000000
1:@0.309810:0.869111:0.318802:0.869111:0.318802:0.853441:0.309810:0.853441:0.000000
5:@0.309238:0.888445:0.318231:0.888445:0.318231:0.872776:0.309238:0.872776:0.000000
y:@0.321484:0.877990:0.328966:0.877990:0.328966:0.862596:0.321484:0.862596:0.000000
+:@0.342058:0.878667:0.352175:0.878667:0.352175:0.863094:0.342058:0.863094:0.000000
3 5:@0.354626:0.877990:0.379374:0.877990:0.379374:0.862320:0.354626:0.862320:0.000000:0.000000:0.000000
x:@0.380222:0.877990:0.387685:0.877990:0.387685:0.862596:0.380222:0.862596:0.000000
( ):@0.363523:0.880539:0.395882:0.880539:0.395882:0.860138:0.363523:0.860138:0.000000:0.000000:0.000000
1:@0.407969:0.869111:0.416961:0.869111:0.416961:0.853441:0.407969:0.853441:0.000000
5:@0.407397:0.888445:0.416390:0.888445:0.416390:0.872776:0.407397:0.872776:0.000000
y:@0.419643:0.877990:0.427125:0.877990:0.427125:0.862596:0.419643:0.862596:0.000000
2:@0.438280:0.859719:0.443492:0.859719:0.443492:0.850638:0.438280:0.850638:0.000000
+:@0.447389:0.878667:0.457505:0.878667:0.457505:0.863094:0.447389:0.863094:0.000000
1:@0.471529:0.869111:0.480522:0.869111:0.480522:0.853441:0.471529:0.853441:0.000000
5:@0.470958:0.888445:0.479950:0.888445:0.479950:0.872776:0.470958:0.872776:0.000000
y:@0.483197:0.877990:0.490679:0.877990:0.490679:0.862596:0.483197:0.862596:0.000000
3:@0.501834:0.859719:0.507046:0.859719:0.507046:0.850638:0.501834:0.850638:0.000000
=:@0.163069:0.917722:0.173185:0.917722:0.173185:0.902149:0.163069:0.902149:0.000000
125:@0.175212:0.917045:0.201785:0.917045:0.201785:0.901375:0.175212:0.901375:0.000000:0.000000:0.000000
x:@0.202633:0.917045:0.210096:0.917045:0.210096:0.901652:0.202633:0.901652:0.000000
3:@0.211756:0.909383:0.216968:0.909383:0.216968:0.900302:0.211756:0.900302:0.000000
15:@0.232068:0.917045:0.249851:0.917045:0.249851:0.901375:0.232068:0.901375:0.000000:0.000000
x y:@0.250699:0.917045:0.274154:0.917045:0.274154:0.901652:0.250699:0.901652:0.000000:0.000000:0.000000
2:@0.259814:0.909383:0.265025:0.909383:0.265025:0.900302:0.259814:0.900302:0.000000
+:@0.277710:0.917722:0.287827:0.917722:0.287827:0.902149:0.277710:0.902149:0.000000
3:@0.291734:0.908166:0.300726:0.908166:0.300726:0.892496:0.291734:0.892496:0.000000
5:@0.291749:0.927496:0.300742:0.927496:0.300742:0.911826:0.291749:0.911826:0.000000
xy:@0.303998:0.917045:0.318759:0.917045:0.318759:0.901652:0.303998:0.901652:0.000000:0.000000
2:@0.320385:0.909383:0.325597:0.909383:0.325597:0.900302:0.320385:0.900302:0.000000
+:@0.329494:0.917722:0.339610:0.917722:0.339610:0.902149:0.329494:0.902149:0.000000
1:@0.352326:0.908166:0.361318:0.908166:0.361318:0.892496:0.352326:0.892496:0.000000
125:@0.342373:0.927496:0.368946:0.927496:0.368946:0.911826:0.342373:0.911826:0.000000:0.000000:0.000000
y:@0.372212:0.917045:0.379694:0.917045:0.379694:0.901652:0.372212:0.901652:0.000000
3:@0.381322:0.909383:0.386534:0.909383:0.386534:0.900302:0.381322:0.900302:0.000000
Un binomio al cubo es igual al cubo del primer término más el triple producto :@0.110323:0.647421:0.682317:0.647421:0.682317:0.631751:0.110323:0.631751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del cuadrado del primer término con el segundo término, más el triple del pri-:@0.106970:0.664017:0.681543:0.664017:0.681543:0.648347:0.106970:0.648347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mer término con el cuadrado del segundo término y más el cubo del segundo :@0.106970:0.680613:0.685577:0.680613:0.685577:0.664944:0.106970:0.664944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
término.:@0.106970:0.697210:0.168555:0.697210:0.168555:0.681540:0.106970:0.681540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si el binomio tiene signo negativo:@0.106970:0.720929:0.357176:0.720929:0.357176:0.705259:0.106970:0.705259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (a – b)3:@0.357176:0.720929:0.409492:0.720929:0.409492:0.704568:0.357176:0.704568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, los signos van alternados:  :@0.409492:0.720929:0.611734:0.720929:0.611734:0.705259:0.409492:0.705259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a3 –  a2b +  ab – b3:@0.106970:0.737525:0.244606:0.737525:0.244606:0.721164:0.106970:0.721164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.136933:0.737525:0.145926:0.737525:0.145926:0.721855:0.136933:0.721855:0.000000
3:@0.187111:0.737525:0.196104:0.737525:0.196104:0.721855:0.187111:0.721855:0.000000
El producto notable de dos binomios con un término común se resuelve así:  :@0.110323:0.146437:0.676634:0.146437:0.676634:0.130767:0.110323:0.130767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(x+a) (x + b) = x2 + (a + b)x + ab:@0.106970:0.170156:0.329152:0.170156:0.329152:0.153794:0.106970:0.153794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.758623:0.258700:0.767412:0.258700:0.767412:0.243198:0.758623:0.243198:0.000000
3:@0.767411:0.252604:0.772214:0.252604:0.772214:0.243605:0.767411:0.243605:0.000000
ab:@0.801246:0.258700:0.818557:0.258700:0.818557:0.243198:0.801246:0.243198:0.000000:0.000000
2:@0.818556:0.252604:0.823359:0.252604:0.823359:0.243605:0.818556:0.243605:0.000000
ab:@0.755286:0.291248:0.772597:0.291248:0.772597:0.275745:0.755286:0.275745:0.000000:0.000000
2:@0.772596:0.285150:0.777399:0.285150:0.777399:0.276151:0.772596:0.276151:0.000000
ab:@0.755286:0.364316:0.772597:0.364316:0.772597:0.348814:0.755286:0.348814:0.000000:0.000000
2:@0.772596:0.358219:0.777399:0.358219:0.777399:0.349219:0.772596:0.349219:0.000000
a b:@0.801246:0.291248:0.823430:0.291248:0.823430:0.275745:0.801246:0.275745:0.000000:0.000000:0.000000
2:@0.809839:0.285150:0.814641:0.285150:0.814641:0.276151:0.809839:0.276151:0.000000
a:@0.805817:0.398162:0.814410:0.398162:0.814410:0.382659:0.805817:0.382659:0.000000
3:@0.814410:0.392064:0.819213:0.392064:0.819213:0.383065:0.814410:0.383065:0.000000
a b:@0.753309:0.400663:0.775493:0.400663:0.775493:0.385161:0.753309:0.385161:0.000000:0.000000:0.000000
2:@0.761903:0.394567:0.766706:0.394567:0.766706:0.385568:0.761903:0.385568:0.000000
a b:@0.798782:0.364318:0.820959:0.364316:0.820959:0.348814:0.798782:0.348815:0.000000:0.000000:0.000000
2:@0.807368:0.358219:0.812170:0.358219:0.812170:0.349219:0.807368:0.349219:0.000000
El hecho de que haya :@0.734997:0.667330:0.881964:0.667330:0.881964:0.653085:0.734997:0.653085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una discapacidad :@0.734997:0.682418:0.855413:0.682418:0.855413:0.668172:0.734997:0.668172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
auditiva no significa :@0.734997:0.697505:0.871260:0.697505:0.871260:0.683260:0.734997:0.683260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que el tono de voz con :@0.734997:0.712593:0.892284:0.712593:0.892284:0.698348:0.734997:0.698348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el que se habla debe ser :@0.734997:0.727681:0.899740:0.727681:0.899740:0.713435:0.734997:0.713435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exagerado o excesivo. :@0.734997:0.742768:0.885097:0.742768:0.885097:0.728523:0.734997:0.728523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Basta con que haya :@0.734997:0.757856:0.867691:0.757856:0.867691:0.743611:0.734997:0.743611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
claridad al momento de :@0.734997:0.772943:0.898532:0.772943:0.898532:0.758698:0.734997:0.758698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicarse.:@0.734997:0.788031:0.823616:0.788031:0.823616:0.773786:0.734997:0.773786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DFA:@0.767569:0.642820:0.799928:0.642820:0.799928:0.625920:0.767569:0.625920:0.000000:0.000000:0.000000
 ©:@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