(2m-n)² -(3m+2n)² 因式分解

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(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)