Complex Arithmetic/Examples

Example: $\paren {i - 2} \paren {2 \paren {1 + i} - 3 \paren {i - 1} }$
Let $z_1 = 2 + i$, $z_2 = 3 - 2 i$ and $z^3 = -\dfrac 1 2 + \dfrac {\sqrt 3} 2 i$.