Factorise $121 b^{2} - 88 b c + 16 c^{2}$

(11 b - 4 c)^{2}

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(11 b - 44 c)^{2}

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(b - 44 c)^{2}

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(11 b + 4 c)^{2}

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Solution

The correct option is D $(11 b - 4 c)^{2}$
$121 b^{2} - 88 b c + 16 c^{2}$
$= (11 b)^{2} - 2 (11 b) (4 c) + (4 c)^{2}$
$= (11 b - 4 c)^{2}$ $U s i n g, (a - b)^{2} = a^{2} + b^{2} - 2 a b$

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