Question : a3 + b3 + c3 = 3abc if _________.
Option 1: a = b = c
Option 2: a + b + c = 0
Option 3: a + b + c = 1
Option 4: a + b + c = –1
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Correct Answer: a + b + c = 0
Solution : We know that a 3 + b 3 + c 3 = (a + b + c) (a 2 + b 2 + c 2 – ab – bc – ca) + 3abc So, a 3 + b 3 + c 3 = 3abc when (a + b + c) = 0 Hence, the correct answer is (a + b + c) = 0.
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