Question

find the value
$99 {}^{2}$
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Answer 1

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Answer 2

$\huge\underline\mathfrak\red{Question} -$

Find the value of : 99²

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→ 99² can be written as (100 - 1)²

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$\boxed{(a-b)² = a²-2ab+b²}$

So, using the above identity, we can find the value of (100-1)² i.e, 99²

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${99}^{2} = ({100 - 1)}^{2} \\ \implies ({100 - 1})^{2} \\ \implies {100}^{2} - 2(100 \times 1) + {1}^{2} \\ \implies10000 - 200 + 1 \\ \implies9800 + 1 \\ \implies\boxed{9801}$

∴ by using suitable identity, we got 99² = 9801

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