计算题(x+y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z).

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计算题(x+y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z).计算题(x+y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z).计算题(x+

计算题(x+y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z).
计算题(x+y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z).

计算题(x+y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z).
原式=(x+y)²[z²-(x-y)²]+(x-y)²[(x+y)²-z²]
=(x+y)²z²-(x+y)²(x-y)²+(x+y)²(x-y)²-z²(x-y)²
=z²[(x+y)²-(x-y)²]
=4xyz²