(m-n)(3m-n)²+(m+3n)²(n-m)

问题描述:

(m-n)(3m-n)²+(m+3n)²(n-m)
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1个回答 分类:数学 2014-10-15

问题解答:

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(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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