因式分解x三次方(x-2y)+y三次方(2x-y)

问题描述:

因式分解x三次方(x-2y)+y三次方(2x-y)

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)