Complex number relationship proof

• Aug 20th 2008, 04:16 PM
Craka
Complex number relationship proof
Hi could some explain how about it is that the following can be proven true or false.

$
{\mathop{\rm Re}\nolimits} (z - w) = {\mathop{\rm Re}\nolimits} (z) - {\mathop{\rm Re}\nolimits} (w)
$
• Aug 20th 2008, 05:11 PM
ThePerfectHacker
Quote:

Originally Posted by Craka
Hi could some explain how about it is that the following can be proven true or false.

$
{\mathop{\rm Re}\nolimits} (z - w) = {\mathop{\rm Re}\nolimits} (z) - {\mathop{\rm Re}\nolimits} (w)
$

Hint: Let $u+iv=w$ and $z=x+iy$.