# Math Help - Complex number relationship proof

1. ## 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)
$

2. 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 $z=x+iy$.