If `a + b + c = 0` , then the value of `a^3 + b^3 + c^3` is :

Options

A. 0
B. abc
C. 3abc
D. none of these

Answer

C

Explanation

`therefore a^3+b^3+c^3-3abc`
`=(a+b+c)(a^2+b^2+c^2-ab-bc-ac)`
or `a^3+b^3+c^3-3abc=0`
`rarr a^3+b^3+c^3=3abc`