x的平方(x+y)(y-x)-xy(x+y)(x-y)因式分解

问题描述:

x的平方(x+y)(y-x)-xy(x+y)(x-y)
因式分解

x的平方(x+y)(y-x)-xy(x+y)(x-y)
=-x²(x+y)(x-y)-xy(x+y)(x-y)
=(-x²-xy)(x+y)(x-y)
=-x(x+y)(x+y)(x-y)
=-x(x+y)²(x-y)