提公因式m^2(x-y)+n^2(y-x)

问题描述:

提公因式m^2(x-y)+n^2(y-x)

m^2(x-y)+n^2(y-x)
=m^2(x-y)-n^2(x-y)
=(x-y)(m^2-n^2)
=(x-y)(m+n)(m-n)