136:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Tema 1:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
División de monomios y polinomios :@0.305303:0.083049:0.777610:0.083049:0.777610:0.055393:0.305303:0.055393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La división de polinomios tiene las mismas partes que la división aritmética. Si hay :@0.304744:0.234743:0.907215:0.234743:0.907215:0.219073:0.304744:0.219073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos polinomios  ( ) (dividendo) y  ( ) (divisor) de modo que el grado de  ( ) sea :@0.304744:0.251339:0.907176:0.251339:0.907176:0.235670:0.304744:0.235670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P x:@0.423805:0.251339:0.444923:0.251339:0.444923:0.234978:0.423805:0.234978:0.000000:0.000000:0.000000
Q x:@0.556318:0.251339:0.580550:0.251339:0.580550:0.234978:0.556318:0.234978:0.000000:0.000000:0.000000
P x:@0.848300:0.251339:0.869418:0.251339:0.869418:0.234978:0.848300:0.234978:0.000000:0.000000:0.000000
mayor que el grado de  ( ) y el grado de  ( ) sea mayor o igual a cero, siempre :@0.304744:0.267936:0.907123:0.267936:0.907123:0.252266:0.304744:0.252266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q x:@0.480949:0.267936:0.505181:0.267936:0.505181:0.251575:0.480949:0.251575:0.000000:0.000000:0.000000
Q x:@0.619099:0.267936:0.643331:0.267936:0.643331:0.251575:0.619099:0.251575:0.000000:0.000000:0.000000
hallaremos dos polinomios:  ( ) (cociente) y  ( ) (resto). Veamos cómo realizamos :@0.304744:0.284532:0.907090:0.284532:0.907090:0.268863:0.304744:0.268863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C x:@0.510931:0.284532:0.533191:0.284532:0.533191:0.268171:0.510931:0.268171:0.000000:0.000000:0.000000
R x:@0.632184:0.284532:0.653487:0.284532:0.653487:0.268171:0.632184:0.268171:0.000000:0.000000:0.000000
la división.:@0.304744:0.301129:0.380721:0.301129:0.380721:0.285459:0.304744:0.285459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es el valor de la altura del panel solar si el área está representada por la :@0.304744:0.324848:0.907088:0.324848:0.907088:0.309178:0.304744:0.309178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresión algebraica 8 2?:@0.304744:0.341444:0.492116:0.341444:0.492116:0.325774:0.304744:0.325774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.469045:0.341444:0.479825:0.341444:0.479825:0.325083:0.469045:0.325083:0.000000:0.000000
Para determinar el valor del lado desconocido, realizamos una división. Para ello, :@0.304744:0.365163:0.907104:0.365163:0.907104:0.349493:0.304744:0.349493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contemplemos el siguiente proceso::@0.304744:0.381759:0.571959:0.381759:0.571959:0.366090:0.304744:0.366090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.486016:0.406737:0.495912:0.406737:0.495912:0.390376:0.486016:0.390376:0.000000
 =   x    entonces :@0.495912:0.406737:0.629936:0.406737:0.629936:0.391067:0.495912:0.391067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b h:@0.514966:0.406737:0.549721:0.406737:0.549721:0.390376:0.514966:0.390376:0.000000:0.000000:0.000000
h = x:@0.629936:0.406737:0.678493:0.406752:0.678493:0.390391:0.629936:0.390376:0.000000:0.000000:0.000000:0.000000:0.000000
 8:@0.653745:0.406737:0.669390:0.406752:0.669390:0.391082:0.653745:0.391067:0.000000:0.000000
÷:@0.690029:0.407430:0.700145:0.407430:0.700145:0.391857:0.690029:0.391857:0.000000
=:@0.725060:0.407430:0.735176:0.407430:0.735176:0.391857:0.725060:0.391857:0.000000
x:@0.713174:0.406752:0.720637:0.406752:0.720637:0.390391:0.713174:0.390391:0.000000
2:@0.702910:0.406752:0.711902:0.406752:0.711902:0.391082:0.702910:0.391082:0.000000
2:@0.680135:0.399091:0.685346:0.399091:0.685346:0.390010:0.680135:0.390010:0.000000
Dividimos los coeficientes y la parte literal aplicando la propiedad de la potenciación :@0.304744:0.430477:0.907198:0.430477:0.907198:0.414807:0.304744:0.414807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de división de bases iguales.:@0.304744:0.447074:0.511240:0.447074:0.511240:0.431404:0.304744:0.431404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.340081:0.481534:0.350198:0.481534:0.350198:0.465961:0.340081:0.465961:0.000000
÷:@0.370874:0.481534:0.380991:0.481534:0.380991:0.465961:0.370874:0.465961:0.000000
÷:@0.424056:0.481534:0.434173:0.481534:0.434173:0.465961:0.424056:0.465961:0.000000
=:@0.455567:0.481534:0.465684:0.481534:0.465684:0.465961:0.455567:0.465961:0.000000
x:@0.319461:0.471894:0.326924:0.471894:0.326924:0.455533:0.319461:0.455533:0.000000
x:@0.322910:0.491347:0.330373:0.491347:0.330373:0.474986:0.322910:0.474986:0.000000
x:@0.405049:0.480856:0.412512:0.480856:0.412512:0.464495:0.405049:0.464495:0.000000
x:@0.438403:0.480856:0.445866:0.480856:0.445866:0.464495:0.438403:0.464495:0.000000
x:@0.480694:0.480856:0.488157:0.480856:0.488157:0.464495:0.480694:0.464495:0.000000
8:@0.308820:0.471894:0.317812:0.471894:0.317812:0.456224:0.308820:0.456224:0.000000
2:@0.312649:0.491347:0.321642:0.491347:0.321642:0.475677:0.312649:0.475677:0.000000
(8 2)(:@0.353064:0.480856:0.402760:0.480856:0.402760:0.465186:0.353064:0.465186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) 4  La altura del panel solar está representada por   = 4:@0.447926:0.480856:0.874867:0.482113:0.874867:0.466444:0.447926:0.465186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.328564:0.464236:0.333776:0.464236:0.333776:0.455154:0.328564:0.455154:0.000000
2:@0.414161:0.473197:0.419373:0.473197:0.419373:0.464115:0.414161:0.464115:0.000000
h:@0.837312:0.482113:0.846821:0.482113:0.846821:0.465752:0.837312:0.465752:0.000000
x:@0.874867:0.482113:0.882331:0.482113:0.882331:0.465752:0.874867:0.465752:0.000000
División de un polinomio por un monomio:@0.304744:0.520359:0.745498:0.520359:0.745498:0.498550:0.304744:0.498550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para dividir un polinomio entre un monomio, aplicamos la propiedad :@0.315916:0.553062:0.894544:0.553062:0.894544:0.537392:0.315916:0.537392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distributiva de manera que obtenemos tantas divisiones de monomios como :@0.315916:0.569658:0.894507:0.569658:0.894507:0.553988:0.315916:0.553988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos tiene el polinomio. Luego resolvemos cada una de ellas.:@0.315916:0.586254:0.794108:0.586254:0.794108:0.570585:0.315916:0.570585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.304744:0.617970:0.374249:0.617970:0.374249:0.602857:0.304744:0.602857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dividir 3:@0.304744:0.652066:0.367656:0.650809:0.367656:0.635139:0.304744:0.636397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.352011:0.664638:0.356046:0.664638:0.356046:0.648968:0.352011:0.648968:0.000000
−:@0.387980:0.651487:0.352230:0.651487:0.352230:0.635914:0.387980:0.635914:0.000000
−:@0.433846:0.651487:0.398096:0.651487:0.398096:0.635914:0.433846:0.635914:0.000000
x:@0.368502:0.650809:0.375965:0.650809:0.375965:0.634448:0.368502:0.634448:0.000000
x:@0.415197:0.650809:0.422660:0.650809:0.422660:0.634448:0.415197:0.634448:0.000000
x:@0.448184:0.650809:0.455648:0.650809:0.455648:0.634448:0.448184:0.634448:0.000000
2:@0.402318:0.641847:0.411311:0.641847:0.411311:0.626177:0.402318:0.626177:0.000000
5:@0.402534:0.661300:0.411527:0.661300:0.411527:0.645630:0.402534:0.645630:0.000000
4:@0.378034:0.643148:0.383245:0.643148:0.383245:0.634067:0.378034:0.634067:0.000000
2:@0.424309:0.643148:0.429520:0.643148:0.429520:0.634067:0.424309:0.634067:0.000000
 :@0.459911:0.664639:0.463947:0.664639:0.463947:0.648970:0.459911:0.648970:0.000000
por:@0.463947:0.652068:0.489358:0.652068:0.489358:0.636398:0.463947:0.636398:0.000000:0.000000:0.000000
  :@0.489358:0.664639:0.497430:0.664639:0.497430:0.648970:0.489358:0.648970:0.000000:0.000000
−:@0.500412:0.651487:0.510528:0.651487:0.510528:0.635914:0.500412:0.635914:0.000000
x:@0.520627:0.650809:0.528090:0.650809:0.528090:0.634448:0.520627:0.634448:0.000000
2 .:@0.510363:0.650809:0.538822:0.652066:0.538822:0.636397:0.510363:0.635139:0.000000:0.000000:0.000000
2:@0.529728:0.643148:0.534940:0.643148:0.534940:0.634067:0.529728:0.634067:0.000000
Solución:@0.304744:0.676691:0.365404:0.676691:0.365404:0.661578:0.304744:0.661578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresamos la división.:@0.304744:0.700729:0.472601:0.700729:0.472601:0.685059:0.304744:0.685059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.304744:0.750850:0.308779:0.750850:0.308779:0.735180:0.304744:0.735180:0.000000
3:@0.322699:0.734812:0.331692:0.734812:0.331692:0.719142:0.322699:0.719142:0.000000
x:@0.330290:0.734812:0.338196:0.734812:0.343415:0.719142:0.335510:0.719142:0.000000
4:@0.342487:0.727150:0.347699:0.727150:0.347699:0.718068:0.342487:0.718068:0.000000
2:@0.364947:0.726364:0.373939:0.726364:0.373939:0.710694:0.364947:0.710694:0.000000
5:@0.365149:0.745699:0.374142:0.745699:0.374142:0.730029:0.365149:0.730029:0.000000
x:@0.375364:0.734812:0.383270:0.734812:0.388489:0.719142:0.380584:0.719142:0.000000
2:@0.387144:0.727150:0.392355:0.727150:0.392355:0.718068:0.387144:0.718068:0.000000
x:@0.406932:0.734812:0.414838:0.734812:0.420058:0.719142:0.412152:0.719142:0.000000
÷:@0.427505:0.735490:0.437622:0.735490:0.437622:0.719917:0.427505:0.719917:0.000000
2:@0.455304:0.734812:0.464297:0.734812:0.464297:0.719142:0.455304:0.719142:0.000000
x:@0.463314:0.734812:0.471220:0.734812:0.476440:0.719142:0.468534:0.719142:0.000000
2:@0.475094:0.727150:0.480305:0.727150:0.480305:0.718068:0.475094:0.718068:0.000000
(:@0.438919:0.740207:0.445055:0.740207:0.445055:0.715601:0.438919:0.715601:0.000000
):@0.482316:0.740207:0.488452:0.740207:0.488452:0.715601:0.482316:0.715601:0.000000
=:@0.491009:0.735490:0.501125:0.735490:0.501125:0.719917:0.491009:0.719917:0.000000
Aplicamos la propiedad distributiva.:@0.304744:0.774582:0.568034:0.774582:0.568034:0.758912:0.304744:0.758912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.318663:0.832410:0.327656:0.832410:0.327656:0.816740:0.318663:0.816740:0.000000
x:@0.326255:0.832410:0.334160:0.832410:0.339380:0.816740:0.331474:0.816740:0.000000
4:@0.338451:0.824749:0.343663:0.824749:0.343663:0.815668:0.338451:0.815668:0.000000
2:@0.360911:0.823963:0.369904:0.823963:0.369904:0.808294:0.360911:0.808294:0.000000
5:@0.361114:0.843298:0.370107:0.843298:0.370107:0.827628:0.361114:0.827628:0.000000
x:@0.371329:0.832410:0.379234:0.832410:0.384454:0.816740:0.376548:0.816740:0.000000
2:@0.383108:0.824749:0.388320:0.824749:0.388320:0.815668:0.383108:0.815668:0.000000
x:@0.402897:0.832410:0.410802:0.832410:0.416022:0.816740:0.408117:0.816740:0.000000
÷:@0.423470:0.833088:0.433586:0.833088:0.433586:0.817515:0.423470:0.817515:0.000000
2:@0.451269:0.832410:0.460261:0.832410:0.460261:0.816740:0.451269:0.816740:0.000000
x:@0.459279:0.832410:0.467184:0.832410:0.472404:0.816740:0.464498:0.816740:0.000000
2:@0.471058:0.824749:0.476270:0.824749:0.476270:0.815668:0.471058:0.815668:0.000000
(:@0.434883:0.837805:0.441019:0.837805:0.441019:0.813199:0.434883:0.813199:0.000000
):@0.478280:0.837805:0.484417:0.837805:0.484417:0.813199:0.478280:0.813199:0.000000
=:@0.486973:0.833088:0.497090:0.833088:0.497090:0.817515:0.486973:0.817515:0.000000
3:@0.314009:0.871654:0.323002:0.871654:0.323002:0.855984:0.314009:0.855984:0.000000
x:@0.323850:0.871654:0.331313:0.871654:0.331313:0.856261:0.323850:0.856261:0.000000
4:@0.333380:0.863992:0.338592:0.863992:0.338592:0.854910:0.333380:0.854910:0.000000
÷:@0.343274:0.872332:0.353391:0.872332:0.353391:0.856759:0.343274:0.856759:0.000000
2:@0.372591:0.871654:0.381584:0.871654:0.381584:0.855984:0.372591:0.855984:0.000000
x:@0.382855:0.871654:0.390318:0.871654:0.390318:0.856261:0.382855:0.856261:0.000000
2:@0.391960:0.863992:0.397172:0.863992:0.397172:0.854910:0.391960:0.854910:0.000000
(:@0.355420:0.876467:0.361556:0.876467:0.361556:0.851239:0.355420:0.851239:0.000000
):@0.399554:0.876467:0.405690:0.876467:0.405690:0.851239:0.399554:0.851239:0.000000
2:@0.438187:0.862774:0.447179:0.862774:0.447179:0.847104:0.438187:0.847104:0.000000
5:@0.438389:0.882109:0.447382:0.882109:0.447382:0.866439:0.438389:0.866439:0.000000
x:@0.450856:0.871654:0.458320:0.871654:0.458320:0.856261:0.450856:0.856261:0.000000
2:@0.459965:0.863992:0.465176:0.863992:0.465176:0.854910:0.459965:0.854910:0.000000
÷:@0.469440:0.872332:0.479557:0.872332:0.479557:0.856759:0.469440:0.856759:0.000000
2:@0.498757:0.871654:0.507749:0.871654:0.507749:0.855984:0.498757:0.855984:0.000000
x:@0.509021:0.871654:0.516484:0.871654:0.516484:0.856261:0.509021:0.856261:0.000000
2:@0.518127:0.863992:0.523339:0.863992:0.523339:0.854910:0.518127:0.854910:0.000000
(:@0.481585:0.876467:0.487722:0.876467:0.487722:0.851239:0.481585:0.851239:0.000000
):@0.525720:0.876467:0.531856:0.876467:0.531856:0.851239:0.525720:0.851239:0.000000
x:@0.564354:0.871654:0.571817:0.871654:0.571817:0.856261:0.564354:0.856261:0.000000
÷:@0.575761:0.872332:0.585877:0.872332:0.585877:0.856759:0.575761:0.856759:0.000000
2:@0.605082:0.871654:0.614075:0.871654:0.614075:0.855984:0.605082:0.855984:0.000000
x:@0.615347:0.871654:0.622810:0.871654:0.622810:0.856261:0.615347:0.856261:0.000000
2:@0.624453:0.863992:0.629665:0.863992:0.629665:0.854910:0.624453:0.854910:0.000000
(:@0.587911:0.876467:0.594048:0.876467:0.594048:0.851239:0.587911:0.851239:0.000000
):@0.632045:0.876467:0.638182:0.876467:0.638182:0.851239:0.632045:0.851239:0.000000
−:@0.307727:0.908630:0.317844:0.908630:0.317844:0.893057:0.307727:0.893057:0.000000
+ +:@0.353004:0.908630:0.389454:0.908630:0.389454:0.893057:0.353004:0.893057:0.000000:0.000000:0.000000
−:@0.415938:0.900683:0.421801:0.900683:0.421801:0.891658:0.415938:0.891658:0.000000
x:@0.334427:0.907952:0.341890:0.907952:0.341890:0.891591:0.334427:0.891591:0.000000
x:@0.406627:0.907952:0.414090:0.907952:0.414090:0.891591:0.406627:0.891591:0.000000
3:@0.321496:0.898955:0.330489:0.898955:0.330489:0.883285:0.321496:0.883285:0.000000
2:@0.321287:0.918482:0.330279:0.918482:0.330279:0.902813:0.321287:0.902813:0.000000
1 1:@0.367723:0.898955:0.403256:0.898955:0.403256:0.883285:0.367723:0.883285:0.000000:0.000000:0.000000
5 2:@0.367146:0.918482:0.402472:0.918482:0.402472:0.902813:0.367146:0.902813:0.000000:0.000000:0.000000
2:@0.343536:0.900290:0.348747:0.900290:0.348747:0.891209:0.343536:0.891209:0.000000
1:@0.421700:0.900290:0.426912:0.900290:0.426912:0.891209:0.421700:0.891209:0.000000
Realiza:@0.311168:0.166194:0.367686:0.166194:0.367686:0.149293:0.311168:0.149293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las multiplicaciones.:@0.367686:0.166194:0.518311:0.166194:0.518311:0.150524:0.367686:0.150524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.339657:0.196206:0.358896:0.196206:0.358896:0.179070:0.339657:0.179070:0.000000:0.000000:0.000000
m:@0.379565:0.195287:0.394196:0.195287:0.394196:0.178925:0.379565:0.178925:0.000000
m:@0.427790:0.195287:0.442422:0.195287:0.442422:0.178925:0.427790:0.178925:0.000000
3:@0.370770:0.195287:0.379763:0.195287:0.379763:0.179617:0.370770:0.179617:0.000000
(-4a:@0.400973:0.195287:0.428085:0.195287:0.428085:0.179617:0.400973:0.179617:0.000000:0.000000:0.000000:0.000000
)=:@0.453644:0.195287:0.469232:0.195287:0.469232:0.179617:0.453644:0.179617:0.000000:0.000000
2:@0.394433:0.187625:0.399644:0.187625:0.399644:0.178544:0.394433:0.178544:0.000000
-2:@0.442854:0.187625:0.451158:0.187625:0.451158:0.178544:0.442854:0.178544:0.000000:0.000000
   :@0.472016:0.196206:0.495816:0.196206:0.495816:0.179070:0.472016:0.179070:0.000000:0.000000:0.000000
 :@0.552401:0.196206:0.556124:0.196206:0.556124:0.179070:0.552401:0.179070:0.000000
b)   :@0.612711:0.196206:0.640537:0.196206:0.640537:0.179070:0.612711:0.179070:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.643521:0.195626:0.653637:0.195626:0.653637:0.180053:0.643521:0.180053:0.000000
−:@0.692944:0.195626:0.703060:0.195626:0.703060:0.180053:0.692944:0.180053:0.000000
−:@0.724507:0.195626:0.734624:0.195626:0.734624:0.180053:0.724507:0.180053:0.000000
=:@0.770742:0.195626:0.780859:0.195626:0.780859:0.180053:0.770742:0.180053:0.000000
ab:@0.662629:0.194948:0.687027:0.194948:0.687027:0.178587:0.662629:0.178587:0.000000:0.000000
a:@0.712420:0.194948:0.721689:0.194948:0.721689:0.178587:0.712420:0.178587:0.000000
b:@0.745774:0.194948:0.755043:0.194948:0.755043:0.178587:0.745774:0.178587:0.000000
2:@0.653470:0.194948:0.662463:0.194948:0.662463:0.179279:0.653470:0.179279:0.000000
( 6:@0.686879:0.194948:0.711886:0.194948:0.711886:0.179279:0.686879:0.179279:0.000000:0.000000:0.000000
3 ):@0.737389:0.194948:0.767979:0.194948:0.767979:0.179279:0.737389:0.179279:0.000000:0.000000:0.000000
3:@0.672471:0.187286:0.677682:0.187286:0.677682:0.178205:0.672471:0.178205:0.000000
3:@0.755601:0.187286:0.760813:0.187286:0.760813:0.178205:0.755601:0.178205:0.000000
Saberes previos:@0.344861:0.139565:0.470369:0.139565:0.470369:0.122665:0.344861:0.122665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Panel solar:@0.131971:0.387744:0.195959:0.387744:0.195959:0.374923:0.131971:0.374923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.177682:0.215765:0.186276:0.215765:0.186276:0.200653:0.177682:0.200653:0.000000
x:@0.186276:0.215765:0.193664:0.215765:0.193664:0.200640:0.186276:0.200640:0.000000
h:@0.103971:0.302519:0.112917:0.302519:0.112917:0.287394:0.103971:0.287394:0.000000
Shutterstock, 101447341. :@0.091062:0.368789:0.091062:0.291858:0.079674:0.291858:0.079674:0.368789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.33:@0.096359:0.942213:0.139502:0.942213:0.139502:0.931458:0.096359:0.931458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Reconocer y calcular productos notables e identificar factores de expresiones algebraicas.:@0.139502:0.942213:0.560718:0.942213:0.560718:0.932242:0.139502:0.932242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un panel solar es un :@0.106529:0.465156:0.245356:0.465156:0.245356:0.450911:0.106529:0.450911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dispositivo que capta la :@0.106529:0.480244:0.267384:0.480244:0.267384:0.465998:0.106529:0.465998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
energía de la radiación :@0.106529:0.495331:0.261338:0.495331:0.261338:0.481086:0.106529:0.481086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solar.:@0.106529:0.510419:0.139950:0.510419:0.139950:0.496174:0.106529:0.496174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los hay de dos tipos: :@0.106529:0.532635:0.248623:0.532635:0.248623:0.518390:0.106529:0.518390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unos son conectores :@0.106529:0.547723:0.248973:0.547723:0.248973:0.533478:0.106529:0.533478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
térmicos que sirven :@0.106529:0.562811:0.241502:0.562811:0.241502:0.548565:0.106529:0.548565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para calentar agua :@0.106529:0.577898:0.233613:0.577898:0.233613:0.563653:0.106529:0.563653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y otros son paneles :@0.106529:0.592986:0.238605:0.592986:0.238605:0.578741:0.106529:0.578741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fotovoltaicos que sirven :@0.106529:0.608074:0.269177:0.608074:0.269177:0.593828:0.106529:0.593828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para generar energía :@0.106529:0.623161:0.248873:0.623161:0.248873:0.608916:0.106529:0.608916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eléctrica.:@0.106529:0.638249:0.165714:0.638249:0.165714:0.624004:0.106529:0.624004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el espacio son :@0.106529:0.660465:0.224919:0.660465:0.224919:0.646220:0.106529:0.646220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizados para :@0.106529:0.675553:0.206524:0.675553:0.206524:0.661308:0.106529:0.661308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suministrar energía :@0.106529:0.690640:0.237732:0.690640:0.237732:0.676395:0.106529:0.676395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eléctrica a los satélites :@0.106529:0.705728:0.257348:0.705728:0.257348:0.691483:0.106529:0.691483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
artificiales.:@0.106529:0.720816:0.175531:0.720816:0.175531:0.706570:0.106529:0.706570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.136865:0.429427:0.250102:0.429427:0.250102:0.412527:0.136865:0.412527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.136865:0.443258:0.262394:0.443258:0.262394:0.426357:0.136865:0.426357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paneles solares que captan la :@0.103970:0.895105:0.262112:0.895105:0.262112:0.883709:0.103970:0.883709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radiación del Sol:@0.103970:0.907175:0.192033:0.907175:0.192033:0.895779:0.103970:0.895779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 115409395.:@0.091062:0.885239:0.091062:0.809960:0.079674:0.809960:0.079674:0.885239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–12:@0.477515:0.194125:0.494823:0.194125:0.494823:0.184153:0.477515:0.184153:0.000000:0.000000:0.000000
a:@0.494823:0.194125:0.500722:0.194125:0.500722:0.183713:0.494823:0.183713:0.000000
12 4 + 6 3  4:@0.787064:0.192866:0.851596:0.192866:0.851596:0.182895:0.787064:0.182895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.798509:0.192866:0.804407:0.192866:0.804407:0.182454:0.798509:0.182454:0.000000
a  b :@0.825996:0.192866:0.847855:0.192866:0.847855:0.182454:0.825996:0.182454:0.000000:0.000000:0.000000:0.000000:0.000000