evaluate using identity (-12)cube +4cube+8cube – InterviewSolution

1.

evaluate using identity (-12)cube +4cube+8cube

Answer»

We know when a + b + c = 0then a³ + b³ + c³ = 3abc

Use this identity

So, here we have (-12)³ + 4³ + 8³

Observe (-12) + 4 + 8 = 0

So, (-12)³ + 4³ + 8³

= 3 × (-12) × 4 × 8

= -1125

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