The correct option is B 970299 ( 99 ) #160; ^ 3 =( 100 1 ) #160; ^ 3 =( 100 ) #160; ^ 3 ( 1 ) #160; ^ 3 +3( 100 ) #160; ^ 2 ( 1 ) +3 ...

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Integers

Evaluate 99...

Question

Evaluate $99^{3}$

90299

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970299

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9702399

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970239

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Solution

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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