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Algebraic Identities

Evaluate 98...

Question

Evaluate $98^{3}$

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Solution

$98^{3} = (100 - 2)^{3}$
$= (100)^{3} - (2)^{3} + 3 (100) (2)^{2} - 3 (100)^{2} 2$
$= 1000000 - 8 + 1200 - 60000$
$= 941192$

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