计算[(m+n)^2-4(m-n)^2]/(3n-m)

问题描述:

计算[(m+n)^2-4(m-n)^2]/(3n-m)

原式={(m+n)²-[2(m-n)]²}/(3n-m)
=[(m+n)+2(m-n)][(m+n)-2(m-n)]/(3n-m)
=(m+n+2m-2n)(m+n-2m+2n)/(3n-m)
=(3m-n)(3n-m)/(3n-m)
=3m-n