(m-n)(3m-n)²+(m+3n)²(n-m)今晚就要!帮帮偶!_数学解答

(m-n)(3m-n)²+(m+3n)²(n-m)
今晚就要!帮帮偶!

人气：129 ℃　时间：2019-10-02 19:08:07

解答

(m-n)(3m-n)²+(m+3n)²(n-m)
=(m-n)(3m-n)²+[-(m+3n)²(m-n)]
=(m-n)(3m-n)²-(m+3n)²(m-n)
=(m-n)[(3m-n)²-(m+3n)²]
=(m-n)[(3m-n)+(m+3n)][(3m-n)-(m+3n)]
=(m-n)(4m+2n)(2m-4n)
=4(m-n)(2m+n)(m-2n)

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