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Question

Evaluate $99^{3}$
$90299$
$970299$
$9702399$
$970239$

A

9702399

B

90299

C

970299

D

970239

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Solution

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The correct option is B $970299$
${(99)}^{3} = {(100 - 1)}^{3}$
$= {(100)}^{3} - {(1)}^{3} + 3 {(100)}^{2} (- 1) + 3 (100) (1)$
$= 1000000 - 1 - 30000 + 300$
$= 970000 + 299$
$= 970299$

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