# Category:Examples of Use of Complex Multiplication Distributes over Addition

The operation of multiplication on the set of complex numbers $\C$ is distributive over the operation of addition.
$\forall z_1, z_2, z_3 \in \C:$
$z_1 \paren {z_2 + z_3} = z_1 z_2 + z_1 z_3$
$\paren {z_2 + z_3} z_1 = z_2 z_1 + z_3 z_1$