Whats the value of $1001^{2}$ - $999^{2}$ ?

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Solution

By using the identity,
$a^{2} - b^{2} = (a + b) (a - b)$
$1001^{2} - 999^{2} = (1001 + 999) (1001 - 999)$

$= 2000 \times 2 = 4000$

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