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Question

Evaluate $103^{3}$ .
$1092727$
$1398477$
$1847267$
$1106327$

A

1398477

B

1092727

C

1847267

D

1106327

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Solution

Verified by Toppr

$(100 + 3)^{3}$
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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