9(x+y)^2-12(x^2-y^2)+4(x-y)^2

问题描述:

9(x+y)^2-12(x^2-y^2)+4(x-y)^2
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1个回答 分类:数学 2014-10-04

问题解答:

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9(x+y)^2-12(x^2-y^2)+4(x-y)^2
=[3(x+y)]^2-12(x+y)(x-y)+[2(x-y)]^2
=(3x+3y)-2(3x+3y)(2x-2y)+(2x-2y)^2
=[(3x+3y)-(2x-2y)]^2
=(x+5y)^2
 
 
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