Question

factor x(2y-x)^2+2y^2(x-2y)

Answer 1

6xy^2−4x^2y+x^3−4y^3. I think this is the answer. I'm not 100% sure though.

Answer 2

x(2y-x)^2+2y^2(x-2y)
=x(2y-x)^2-2y^2(2y-x)

Answer 3

what terms are shared by x(2y-x)^2 and -2y^2(2y-x)?