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
答
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)