Factorize the following expression
$9 x^{2} - 24 x y + 16 y^{2}$

(3 x - 4 y)^{2}

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(3 x + 4 y)^{2}

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(3 x - 4 y)^{3}

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None of these

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Solution

The correct option is A $(3 x - 4 y)^{2}$
$9 x^{2} - 24 x y + 16 y^{2}$

$= (3 x)^{2} - 24 x y + (4 y)^{2}$

$= (3 x)^{2} - 2 (3 x) (4 y) + (4 y)^{2}$

Using $(a - b)^{2} = a^{2} - 2 a b + b^{2}$ , we get

$= (3 x - 4 y)^{2}$

Suggest Corrections

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