Question
Write the correct answer in the following: If $a + b + c = 0,$ then $a^3 + b^3 + c^3$ is equal to.
✓
Answer
Now, $a^3 + b^3 + c^3 = (a + b + c)(a^2 + b^2 + c^2 - ab - be - ca) + 3abc$
$[$Using identit $y, a^3 + b^3 + c^3 – 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - be - ca)] = 0 + 3abc$
$\therefore a + b + c = 0,$ given
$a^3 + b^3 + c^3 = 3abc$
$[$Using identit $y, a^3 + b^3 + c^3 – 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - be - ca)] = 0 + 3abc$
$\therefore a + b + c = 0,$ given
$a^3 + b^3 + c^3 = 3abc$
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