Shorten the rational expressions as possible.

a) $\displaystyle \frac{x^{2}+4x+4}{x^{2}-4}$

b) $\displaystyle \frac{x^{2}+x-6}{x^{2}-2x}*\frac{6x}{2x^{2}-18}$

I need full calculation with these task and the answer must be in order and complete.

The answer:

a) $\displaystyle \frac{x+2}{x-2}$

b) $\displaystyle \frac{3}{x-3}$

Warning the blueprint may be wrong.

Than you for your help.