Question

因式分解x三次方(x-2y)+y三次方(2x-y)

Answer 1

x三次方(x-2y)+y三次方(2x-y)
=x³（x-2y)-y³(x-2y)
=(x-2y)(x³-y³)
=(x-2y)(x-y)(x²+xy+y²)

Answer 2

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