Solve $a^{3} + b^{3} + c^{3} - 3 a b c$ . If $a + b + c = 0$

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Solution

Solution:- 0
$a^{3} + b^{3} + c^{3} - 3 a b c$
$= (a + b + c) (a^{2} + b^{2} + c^{2} - a b - b c - c a)$
$= 0. (a^{2} + b^{2} + c^{2} - a b - b c - c a) {∵ a + b + c = 0}$
$= 0$

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