If a = b^2b - a , then the value of a3 + b3 is?

Answer: Option B

$$\begin{array}{rl}& a=\frac{b^2}{b-a}\\ & \Rightarrow a\left(b-a\right)=b^2\\ & \Rightarrow ab-a^2=b^2\\ & \Rightarrow a^2+b^2-ab=0\\ & \Rightarrow a^3+b^3=\left(a+b\right)\left(a^2+b^2-ab\right)\\ & \Rightarrow a^3+b^3=0\end{array}$$