I've been staring at this problem for quite some time...

Let z belong in C such that |z| = 1. Compute |1+z|^2 + |1-z|^2

If it was like |z + w|^2 where w was also a complex number, then that would be a lot like multiplying vectors using the dot product, correct? So it is much simpler where w is a real number? I'm not sure if I understand how to go about this...

please help

- Nicole