Question

(x-y)×(x^3-x^2y^2+y^3)

分组分解因式x^3-x^2y-xy^2+y^3有几道答案?我怎么得出两道.
分别是(x+y)(x-y)^2和(x-y)(x^2-y^2)

Answer 1

(x+y)(x-y)^2 = (x-y)(x^2-y^2)
x^3-x^2y-xy^2+y^3
=x^2 (x-y) -y^2 (x-y)
= (x-y)(x^2 - y^2)
= (x-y)(x-y)(x+y)
= (X+y)(x-y)^2