Find the value of $513^{2} - 512^{2}$

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Solution

GIven: $513^{2} - 512^{2}$

We know, $a^{2} - b^{2} = (a - b) (a + b)$

$∴ 513^{2} - 512^{2}$

$= (513 - 512) (513 + 512) = 1 \times (1025) = 1025$

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