因式分解(x-y+z)² -(x+y-z)²因式分解(x-y+z)² -(x+y-z)²

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因式分解(x-y+z)² -(x+y-z)²因式分解(x-y+z)² -(x+y-z)²
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因式分解(x-y+z)² -(x+y-z)²因式分解(x-y+z)² -(x+y-z)²
因式分解(x-y+z)² -(x+y-z)²
因式分解(x-y+z)² -(x+y-z)²

因式分解(x-y+z)² -(x+y-z)²因式分解(x-y+z)² -(x+y-z)²
平方差
原式=[(x-y+z)+(x+y-z)][(x-y+z)-(x+y-z)]
=2x(-2y+2z)
=-4x(y-z)

(x-y+z)² -(x+y-z)²
=[(x - y +z) + (x + y - z)] * [ (x – y + z) - (x + y - z)
=2x * [ - 2y + 2z]
=4x*(z - y)
用平方差做比较简单