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Patterns in Square Differences

The value of ...

Question

The value of $201^{2} - 200^{2}$ is equal to

$402$

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$401$

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$403$

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$404$

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Solution

The correct option is B
$401$

The given expression is $201^{2} - 200^{2}$

$= 201^{2} - 200^{2}$
$= 201 + 200$
[Difference of square of two consecutive natural number is their sum]

$= 401$

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