Evaluate using suitable identity $(109)^{2}$

11881

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11752

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16441

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18831

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Solution

The correct option is B $11881$
$(109)^{2}$
$= (100 + 9)^{2}$
Using, $(a + b)^{2} = a^{2} + b^{2} + 2 a b$ we get,
$= (100)^{2} + 9^{2} + 2 (100) (9)$
$= 10000 + 81 + 1800$
$= 11881$

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