(-x+y-z)(x+y+z)等于什么(用平方差公式)

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(-x+y-z)(x+y+z)等于什么(用平方差公式)
(-x+y-z)(x+y+z)等于什么(用平方差公式)

(-x+y-z)(x+y+z)等于什么(用平方差公式)
(-x+y-z)(x+y+z)
=-（x-y+z）(x+y+z)
=-((x+z)-y)((x+z)+y)
=-((x+z)^2-y^2)
=y^2-(x+z)^2

(-x+y-z)(x+y+z)
=[y+(x+z)][y-(x+z)]
=y^2-(x+z)^2

[y-(x+z)][y+(x+z)]=y*y-(x+z)(x+z)

原式=y^2-(x+z)^2
=y^2-x^2-2xz-z^2
想知道why,加追问，我先吃饭去(约10分钟)

原式=y^2-(x+z)^2
=-（x-y+z）(x+y+z)
=-((x+z)-y)((x+z)+y)
=-((x+z)^2-y^2)
=y^2-(x+z)^2

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