Question
If a + b + c = 0, then what is the value of
a3 + b3 + c3 - 3abc?Solution
We know that, a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - bc - ab - ac) So, a3 + b3 + c3 - 3abc = 0 X (a2 + b2 + c2 - bc - ab - ac) [Since, a + b + c = 0]
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