Factorize: $121 b^{2} + 88 b c + 16 c^{2}$

(11 b - 4 c)^{2}

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(4 b + 11 c)^{2}

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(4 b - 11 c)^{2}

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(11 b + 4 c)^{2}

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Solution

The correct option is D $(11 b + 4 c)^{2}$
$121 b^{2} + 88 b c + 16 c^{2}$
$= (11 b)^{2} + 2 \times 11 b \times 4 c + (4 c)^{2}$
$= (11 b + 4 c)^{2}$

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Factorize :

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