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Patterns in Square Differences

The value of ...

Question

The value of $100^{2} - 99^{2}$ is equal to

A

199

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B

200

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C

201

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D

198

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Solution

The correct option is A
199

The given expression is

$100^{2} - 99^{2}$

$100^{2} - 99^{2} = 100 + 99$

[Difference of the square of two consecutive numbers is their sum]

$= 199$

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