$5)^{3} + (- 2)^{3} + (- 3)^{3} =$

- 90

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- 60

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Solution

The correct option is B 90
The given expression is
$5^{3} + (- 2)^{3} + (- 3)^{3} .$
Let $a = 5, b = - 2$ and $c = - 3.$
We can observe that $a + b + c = 5 + (- 2) + (- 3) = 0.$
We know that if $a + b + c = 0,$ then $a^{3} + b^{3} + c^{3} = 3 a b c .$
$\Rightarrow 5^{3} + (- 2)^{3} + (- 3)^{3} = 3 (5) (- 2) (- 3) = 90$

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