x²[x-y]+y²[y-x] 因式分解,

问题描述:

x²[x-y]+y²[y-x] 因式分解,

【解】 x²[x-y]+y²[y-x]
= x²[x-y] - y²[x-y]
= (x²-y²)(x-y)
= (x+y)(x-y)²