Evaluate $103^{3}$ .

1092727

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1398477

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1847267

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1106327

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Solution

The correct option is A $1092727$
$(100 + 3)^{3}$
Using $(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$
$= (100)^{3} + (3)^{3} + 3 (100) (3) (100 + 3)$
$= 1000000 + 27 + 900 (100 + 3)$
$= 1000000 + 27 + 90000 + 2700$
$= 1092727$

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