If a + b + c = 0, then a³ + b³ + c³ is equal to:
Show answer & explanation
Correct answer: B
Explanation
a³ + b³ + c³ − 3abc = (a + b + c)(a² + b² + c² − ab − bc − ca)
Since a + b + c = 0,
a³ + b³ + c³ − 3abc = 0
a³ + b³ + c³ = 3abc
SSC Selection Post - Higher Secondary Level - 29th July 2025 - Shift 2 • Quantitative Aptitude • Q34
If a + b + c = 0, then a³ + b³ + c³ is equal to:
Correct answer: B
Explanation
a³ + b³ + c³ − 3abc = (a + b + c)(a² + b² + c² − ab − bc − ca)
Since a + b + c = 0,
a³ + b³ + c³ − 3abc = 0
a³ + b³ + c³ = 3abc