Question

（x-2y)x^3-(y-2x)y^3因式分解

Answer 1

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

Answer 2

（x-2y)x^3-(y-2x)y^3
=x^4-2x^3y-y^4+2xy^3
=(x²+y²)(x²-y²)-2xy(x²-y²)
=(x²+y²+2xy)(x²-y²)
=(x+y)³(x-y)