Find the value of $101^{2} - 99^{2} =$

200

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400

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600

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None of the above

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Solution

The correct option is B 400
$∵ (x + a) (x - a) = x^{2} - a^{2}$
$∴ 101^{2} - 99^{2} = (101 + 99) (101 - 99)$
$\Rightarrow (200) (2) = 400$

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