Question

a + b + c = 0 then a³ + b³ + c³ = ………………

A) \(\frac{abc}{3}\)

B) 3 abc 

C) ab+c 

D) \(\frac{ab}{c}\)

Answer 1

Correct option is  B) 3 abc

Answer 2

Correct option is (B) 3 abc

Since, \(a^3+b^3+c^3\) - 3ab \(=(a+b+c)(a^2+b^2+c^2-bc-ca-ab)\)

\(\therefore\) If a + b + c = 0, then \(a^3+b^3+c^3\) = 3 abc.