SOLUTION: if a^3+b^3+c^3-3abc=0, does it mean that a+b+c=0?

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Question 55434: if a^3+b^3+c^3-3abc=0, does it mean that a+b+c=0?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
if a^3+b^3+c^3-3abc=0, does it mean that a+b+c=0?

No, because if a = b = c = 1 then 

a³ + b³ + c³ - 3abc = 1³ + 1³ + 1³ - 3(1)(1)(1) = 0

yet

a + b + c = 1 + 1 + 1 = 3, not 0.

Edwin