If $a + b + c = 0$, then $a^{3} + b^{3} + c^{3}$ equals

Question

Aicharya · Accepted Answer

Identity: $a^{3}+b^{3}+c^{3} - 3abc = (a+b+c)(\ldots)$. With $a+b+c=0$, $a^{3}+b^{3}+c^{3} = 3abc$.

Solution