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Addition and Subtraction of a Matrix

9a2-24ab+16b2...

Question

$9 a^{2} - 24 a b + 16 b^{2} - 4 x^{2}$ =______

(3 a + 4 b - 2 x) (3 a + 4 b + 2 x)

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(3 a - 4 b + 2 x) (3 a - 4 b - 2 x)

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(3 a - 4 b - 2 x) (3 a + 4 b + 2 x)

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(3 a - 4 b - 2 x) (3 a - 4 b - 2 x)

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Solution

The correct option is B $(3 a - 4 b + 2 x) (3 a - 4 b - 2 x)$
$9 a^{2} - 24 a b + 16 b^{2} - 4 x^{2} = {(3 a - 4 b)}^{2} - {(2 x)}^{2}$
= $(3 a - 4 b + 2 x) (3 a - 4 b - 2 x)$

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