What is the value of if (a+b+c)=0 ?

Correct option is C

Given:

We are given that a + b + c = 0 and we are asked to find the value of a³ + b³ + c³.

Solution:

​$$a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - bc – ca)$$​​

Since a + b + c = 0, the expression simplifies to:

​$$a^3 + b^3 + c^3 = 3abc$$​​

Therefore, the value of a³ + b³ + c³ is:

​$$a^3 + b^3 + c^3 = 3abc$$​​