因式分解(2m-3n)^2-(2m+3n)(2m-3n)+(2m+3n)^2

问题描述:

因式分解(2m-3n)^2-(2m+3n)(2m-3n)+(2m+3n)^2

(2m-3n)^2-(2m+3n)(2m-3n)+(2m+3n)^2
=(2m-3n)^2-2(2m+3n)(2m-3n)+(2m+3n)^2+(2m+3n)(2m-3n)
=(2m-3n-2m-3n)^2+(2m+3n)(2m-3n)
=36n^2+4m^2-9n^2
=27n^2+4m^2