Evaluate (104)³

1142846

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1124864

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1124844

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1142864

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Solution

The correct option is B.1124864
Given: $(104)^{3} = (100 + 4)^{3}$
As we know that the $(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$
Substitute $a = 100$ and $b = 4$ in above formula, we get
$(100 + 4)^{3} = (100)^{3} + (4)^{3} + 3 (100) (4) (100 + 4)$
$= 1000000 + 64 + 1200 (104)$
$= 1000064 + 124800$
$∴ (100 + 4)^{3} = 1124864$

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