State whether the statement is True or False.
The square of $(2 x - 3 y + z)$ is equal to $4 x^{2} + 9 y^{2} + z^{2} - 12 x y - 6 y z + 4 z x$ .

True

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False

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Solution

The correct option is A True
$M u l t i p l y (2 x - 3 y + z) (2 x - 3 y + z) = 4 x^{2} + 9 y^{2} + z^{2 -} 6 x y - 3 y z + 2 z x - 6 x y - 3 y z + 2 z x = 4 x^{2} + 9 y^{2} + z^{2} - 12 x y - 6 y z + 4 z x$

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