问题标题:
一道初一数学题(用平方差公式解)(x-y+z)²-(x+y-z)²
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

宋德朝回答:
  (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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