State True or False.
$(- 2 x + 3 y + 2 z)^{2}$ $= 4 x^{2} + 9 y^{2} + 4 z^{2} - 12 x y + 12 y z - 8 z x$

True

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False

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Solution

The correct option is A True
$(- 2 x + 3 y + 2 z)^{2} = (- 2 x)^{2} + (3 y)^{2} + (2 z)^{2} + 2 (- 2 x) (3 y) + 2 (3 y) (2 z) + 2 (2 z) (- 2 x)$
$= 4 x^{2} + 9 y^{2} + 4 z^{2} - 12 x y + 12 y z - 8 z x$

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