What is the value of $3^{3} + 5^{3} - 8^{3}$ ?

-160

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260

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-360

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160

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Solution

The correct option is C -360
If $a + b + c = 0$ , then $a^{3} + b^{3} + c^{3} = 3 a b c$
As
$\Rightarrow 3 + 5 - 8 = 0,$
$\Rightarrow 3^{3} + 5^{3} - 8^{3} = 3 (3) (5) (- 8) = - 360$ .

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