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(a-b)^2 Expansion and Visualisation

Using identit...

Question

Using identities, evaluate
$99^{2}$

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Solution

given, $99^{2}$

$= (100 - 1)^{2}$

$= (100)^{2} - 2.100.1 + (1)^{2}$

$= 10000 - 200 + 1$

$= 99801$

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