Calculate:
$99 \times 99 =$

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Solution

$99 \times 99 = (100 - 1) (100 - 1)$
$= {(100 - 1)}^{2}$
$= 100^{2} - 2 (1) (100) + 1^{2}$
$= 10000 - 200 + 1$
$= 9800 + 1$
$= 9801$

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