If m - 3a^3b^3 + c^3 + m - 3b^3c^3 + a^3 + m - 3c^3a^3 + b^3 = 9, then the value of m is?

Answer: Option C

$$\begin{array}{rl}& \text{Put }a=b=c=1\\ & \text{Then we have }\\ & \frac{m-3}{2}\text{ + }\frac{m-3}{2}\text{ + }\frac{m-3}{2}=9\\ & m=9\end{array}$$
Now, putting values of a, b, c in option,
Only option (C) gives value of m = 9
So, option (C) is correct.