
计算:(x+y+z)(x-y-z)-(x-y+z)(x+y-z)
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(x+y+z)(x-y-z)-(x-y+z)(x+y-z)
=x²-(y+z)²-[x²-(y-z)²]
=x²-(y+z)²-x²+(y-z)²
=(y-z)²-(y+z)²=-4yz
=x²-(y+z)²-[x²-(y-z)²]
=x²-(y+z)²-x²+(y-z)²
=(y-z)²-(y+z)²=-4yz
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