mn(x-y)-m(y-x)的因式分解

问题描述:

mn(x-y)-m(y-x)的因式分解

=mnx-mny-my+mx =(mnx+mx)-(mny+my) =(mn+m)x-(mn+m)y =(mn+m)(x-y)

=-mn(y-x)-m(y-x)
=-m(y-x)(n+1)

原式=mn(x-y)+m(x-y)
=m(x-y)(n+1)