If \(a + b + c = 6\), \(ab + bc + ca = 11\) and \(abc = 6\), find \(a^3 + b^3 + c^3\).

A. 18

B. 24

C. 54

D. 36

Doubtly AI Asked 27 Oct 2026 AI-generated · not yet verified ssc cpo Save WhatsApp Report

1 answer

Best answer

Answer: D. 36

Answer: (D) 36

\(a^3 + b^3 + c^3 = (a + b + c)^3 - 3(a + b + c)(ab + bc + ca) + 3abc\).

\(= 216 - 3 \times 6 \times 11 + 3 \times 6 = 216 - 198 + 18 = 36\). (Check: a, b, c = 1, 2, 3 gives 1 + 8 + 27 = 36.)

Doubtly AI · 27 Oct 2026 AI-generated · not yet verified Report

Was this answer helpful?