(2m-n)² -(3m+2n)² 因式分解
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/17 03:10:08
(2m-n)² -(3m+2n)² 因式分解
(2m-n)² -(3m+2n)² 因式分解
(2m-n)² -(3m+2n)² 因式分解
(2m-n)² -(3m+2n)²
=(2m-n+3m+2n)(2m-n-3m-2n)
=(5m+n)(-m-3n)
=-(5m+n)(m+3n)
解:
[(2m-n)+(3m+2n)][(2m-n)-(3m+2n)]
(2m-n+3m+2n)(2m-n-3m-2n)
(5m+n)(-m-3n)
-(5m+n)(m+3n)
(2m-n)² -(3m+2n)²=(2m-n+3m+2n)(2m-n-3m-2n)=(5m+n)(-m-3n)=-(5m+n)(m+3n)
(2m-n)² -(3m+2n)² =(2m-n+3m+2n)(2m-n-3m-2n)=(5m+n)(-m-3n)=-(5m+n)(m+3n)