因式分解(3m+2n)²-4(m-n)²

问题描述:

因式分解(3m+2n)²-4(m-n)²

(3m+2n)²-4(m-n)²
=(3m+2n)²-2²(m-n)²
=(3m+2n)²-(2m-2n)²
=(3m+2n+2m-2n)(3m+2n-2m+2n)
=5m(m+4n)