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

B1 - Linear equations on complex numbers, part 1

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

B2 - Linear equations on complex numbers, part 1  

Similar to 1. Automatic calculations without the conjugate.  

C1 - Quadratic equations on complex numbers, with real coefficients

Examples :   $3z^2-z+3=0$  ;   ${\left(z+2\right)}^2={\left(4z-1\right)}^2$

Automatic calculations without using the conjuguate.

C2 - Quadratic equations on complex numbers, with complex coefficients

Examples :   ${\left(-4ix+2\right)}^2+\left(-4ix+2\right)\left(x+2ix-1+i\right)=0$

Automatic calculations using the conjuguate.