If $$x^{2} = b - ax$$ and $$x^{3} \left(x^{3} + c\right) = d$$, then which of the following can be the values of c and d?

A

$$c = a^{3} - 3ab$$ and $$d = b^3$$

B

$$c = -a^{3} - 3ab$$ and $$d = b^3$$

C

$$c = a^{3} + 3ab$$ and $$d = b^3$$

D

$$c = a^{3} + 3ab$$ and $$d = - b^3$$