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Expansion of (a ± b ± c)²

If α=3, β=5...

Question

If $α = 3, β = 5$ and $γ = - 8$ then the value of $α^{3} + β^{3} + γ^{3}$ is

A

-240

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B

240

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C

-360

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D

0

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Solution

The correct option is C -360
$α + β + γ = 3 + 5 - 8 = 0$
$∴ α^{3} + β^{3} + γ^{3} = 3. α . β . γ$
$= 3 \times 3 \times 5 \times (- 8)$
$= - 360$ .

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