Question

If a + b + c = 0, then the value of a³ + b³ + c³ (a) abc. (b) -3abc. (c) 0 (d) 3abc

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Answer 1

$if \: a + b + c = 0, \: then \: the \: value \: of \: {a}^{3} + {b}^{3} + {c}^{3} \\ (a). \: \: abc \\ \: \: \: \: \: \: \: \: (b). \: \: - 3abc \\ (c). \: \: \: \: \: \: 0 \\ \: \: (d ). \: \: 3abc \\ \\ ans. \: \: a + b + c = 0 \: so \: means \\ a = 0 \\ b = 0 \\ c = 0 \\ so \: \: a + b + c = 0 \\ {a}^{3} + {b}^{3} + {c}^{3} = 0 \\ because \: {0}^{3} + {0}^{3} + {0}^{3} = 0 \: always \: 0 \\ so \: answer \: is \: 0.$