Find the coefficient of $x z$ in the expansion $(2 x - y + 4 z)^{2}$ .

- 2

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- 4

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16

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- 16

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Solution

The correct option is C $16$
$(2 x - y + 4 z)^{2} = (2 x)^{2} + (- y)^{2} +$
$(4 z)^{2} + 2 (2 x) (- y) + 2 (- y) (4 z)$
$+ 2 (2 x) (4 z)$

$= 4 x^{2} + y^{2} + 16 z^{2} - 4 x y - 8 y z$
$+ 16 x z$

So, the coefficient of $x z$ in the given expansion is $16$ .

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