4(m+n)^2-9(n-m)^2
问题描述:
4(m+n)^2-9(n-m)^2
答
4(m+n)^2-9(n-m)^2
=【2(m+n)+3(n-m)】【2(m+n)-3(n-m)】
=(5n-m)(5m-n)
答
4(m+n)²-9(n-m)²
=[2(m+n)]²-[3(n-m)]²
=[2(m+n)+3(n-m)][2(m+n)-3(n-m)]
=(2m+2n+3n-3m)(2m+2n-3n+3m)
=(5n-m)(5m-n)