Question
Add: $2x(z - x - y)$ and $2y(z - y - x)$

Answer

$2x(z - x - y) + 2y(z - y - x)$
$=2 x z-2 x^{2}-2 x y+2 y z-2 y^{2}-2 x y$
$=2 x z-2 x y-2 x y+2 y z-2 x^{2}-2 y^{2}$
$=-2 x^{2}-2 y^{2}-4 x y+2 y z+2 z x$

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