if x+y+z=0 then (x+y)(y+z)(z+x)
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X+y=-z
Y+z=-x
Z+x=-y
(x+y) (y+z) (z+x) = - x*-y*-z=-xyz
Y+z=-x
Z+x=-y
(x+y) (y+z) (z+x) = - x*-y*-z=-xyz
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