Simplify the following expression : $x (y - z) - y (z - x) - z (x - y)$

2 x (y - z)

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2 y (z - x)

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2 x (z - y)

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None

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Solution

The correct option is D $2 x (y - z)$
$x (y - z) - y (z - x) - z (x - y) = x y - x z - y z + x y - z x + z y$
= $2 x y - 2 x z$
= $2 x (y - z)$

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