Evaluate the following:

(iv) $(10.4)^{3}$

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Solution

Given, $(10.4)^{3}$

$= (10.4)^{3}$

Using Identity,
$(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$

$∴ (10 + 0.4)^{3}$

$= 10^{3} + (0.4)^{3} + 3 \times 10 \times 0.4 (10 + 0.4)$

$= 1000 + 0.064 + 12 (10.4)$

$= 1000 + 0.064 + 124.8$

$= 1124.864$

$∴ (10.4)^{3} = 1124.864$

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