Question

Разложите на множители:
х^3+8y^3-2x^2y-4xy^2

Answer 1

$x^3+8y^3-2x^2y-4xy^2=(x^3-2x^2y)-(4xy^2-8y^3)=\\x^2(x-2y)-4y^2(x-2y)=(x^2-4y^2)(x-2y)=\\(x^2-(2y)^2)(x-2y)=(x-2y)(x+2y)(x-2y)=(x-2y)^2(x+2y)$