因式分解:x(m-x)(m-y)-m(m-x)(m-y)

问题描述:

因式分解:x(m-x)(m-y)-m(m-x)(m-y)
结果是“-(m-x)²(m-y)”还是“-(x-m)²(m-y)” 为什么?

x(m-x)(m-y)-m(m-x)(m-y)
=(m-x)(m-y)(x-m)
=(m-x)(m-y)[-(m-x)]
=-(m-x)^2(m-y)