(x+y+z)² +2(x-y+z) (y-z-x) +(y-z+x)²
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(x-y-z)²-(x+y-z)²
(x²+y²+z²-2xy-2xz+2yz)-(x²+y²+z²+2xy-2xz-2yz)
x²y²+z²-2xy-2xz+2yz-x²-y²-z²-2xy+2xz+2yz
= -4xy+4yz
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