Find the real and imaginary part of the following I'm having trouble finding the real and imaginary part of $z/(z+1)$ given that z=x+iy.  I tried substituting that in but its seems to get really complicated and I'm not so sure how to reduce it down.  Can anyone give me some advice?

Usually if $z'$ is a non-zero complex number, $\frac{1}{z'} = \frac{\overline{z'}}{|z'|^2}$. Here $z' = 1+z$. Use this.
You can also use same type of idea to put inverse of numbers of the form $a+b\sqrt{d}$ in the same form...
