因式分解(3m+n)(2m-n)-(m+3n)(n-2m)

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因式分解(3m+n)(2m-n)-(m+3n)(n-2m)

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

因式分解(3m+n)(2m-n)-(m+3n)(n-2m)
(3m+n)(2m-n)-(m+3n)(n-2m)
=(3m+n)(2m-n)+(m+3n)(2m-n)
=(2m-n)(3m+n+m+3n)
=4(m+n)(2m-n)

(3m+n)(2m-n)-(m+3n)(n-2m)
= (3m+n)(2m-n) + (m+3n)(2m-n)
= (2m-n){(3m+n) + (m+3n)}
= (2m-n)(4m+4n)
= 5 (2m-n)(m+n)