提公因式:将下列多项式因式分解:x(x+y)(x-y)-x(x+y)²

问题描述:

提公因式:将下列多项式因式分解:x(x+y)(x-y)-x(x+y)²

x(x+y)(x-y)-x(x+y)²
=x(x+y)[(x-y)-(x+y)]
=-2xy(x+y)