一道初一数学题(用平方差公式解)

问题描述:

一道初一数学题(用平方差公式解)
(x-y+z)²-(x+y-z)²
1个回答 分类:数学 2014-11-27

问题解答:

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(x-y+z)²-(x+y-z)²
=[(x-y+z)+(x+y-z)][(x-y+z)-(x+y-z)]
=(x-y+z+x+y-z)(x-y+z-x-y+z)
=2x × (-2y+2z)
=-4xy+4xz
=-4x(y-z)
 
 
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