\text { (b) Describe the affine algebraic variety } V\left(x^{9}+x^{3}-2, x^{6}-3 x^{3}+2\right) \subset \text { C. What } if we regard this variety inside R ? \text { (a) Find

} I\left(V\left(y-x^{2}, y-x^{3}\right)\right) \text { in } \mathbf{C}[x, y]