A1 - Calculations on complex numbers, part 1

Examples : $\left(3+2i\right)\left(-4-4i\right)$  ; $\frac{-3+4i}{5+2i}$  

A2 - Calculations on complex numbers, part2

Examples : ${\left(-3+4i\right)}^2-{\left(-2-3i\right)}^2$  ;   $\left(z-2i\right)\left(3-2z+4iz\right)$  ;   ${\left(3z-3i\right)}^2+{\left(1-4iz\right)}^2$