因式分解:(m+2n)²-6(m+2n)(2m-n)+9(n-2m)²

问题描述:

因式分解:(m+2n)²-6(m+2n)(2m-n)+9(n-2m)²

(m+2n)²-6(m+2n)(2m-n)+9(n-2m)²
=[m+2n+3(n-2m)]^2
=(5n-5m)^2
=25(n-m)^2