Question
If a + b + c = 0, find the value of a³ + b³ + c³
.Solution
Using the identity a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca), and since a + b + c = 0, the expression simplifies to 3abc. Correct answer: a) 3abc
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