Question

Factorizar:
P(x; y)  x5y4 + x5y2 + x3y4 + x3y2
e indicar un factor primo de mayor grado.
(Los números son los exponentes)

Answer 1

$P(x,y) = x^5y^4 +x^5y^2 + x^3y^4+x^3y^2 \ \ \boxed{Factor \ com\'un: x^3y^2} \ \ Entonces: \ \ P(x,y) = x^3y^2 (x^2y^2 + x^2 + y^2 + 1) \ \ \boxed{Para \ x^2y^2 + x^2 \to factor \ comun: x^2 } \ \ P(x,y) = x^3y^2 (x^2(y^2+1) + y^2+1) \ \ \boxed{Factor \ comun: y^2+1 } \ \ P(x,y) = x^3y^2(y^2+1)(x^2+1)$

Y eso es todo! Saludos.