因式分解 x^2(x+y)(y-x)-xy(x+y)(x-y)

问题描述:

因式分解 x^2(x+y)(y-x)-xy(x+y)(x-y)

x^2(x+y)(y-x)-xy(x+y)(x-y)
=x^2(x+y)(y-x)+xy(x+y)(y-x)
=x(x+y)(y-x)(x+y)
=x(x+y)^2(y-x)