- $i^{4n+2} = -1$
- $i^{4n+3} = -i$
+Divide by 4 and take remainder
+
### Multiplying complex expressions
If $z_1 = a+bi$ and $z_2=c+di$, then
To solve $z^2+a^2=0$ (sum of two squares):
$z^2+a^2=z^2-(ai)^2$
- $=(z+ai)(z-ai)$
+ $=(z+ai)(z-ai)$
## Polar form