因式分解4-(2x-1)² (2m-n)²-121(m+n)²

问题描述:

因式分解4-(2x-1)² (2m-n)²-121(m+n)²
因式分解①4-(2x-1)² ②(2m-n)²-121(m+n)²

4-(2x-1)²
=[2+(2x-1)][2-(2x-1)]
=(2x+1)(1-2x)
(2m-n)²-121(m+n)²
=[(2m-n)+11(m+n)][(2m-n)-11(m+n)]
=(13m+9n)(-9m-12n)
=-3(13m+9n)(3m+4n)