Question

How do you simplify `(1+i)(3+2i)`?

Answer 1

`1+5i`

Explanation:

`color(blue)((1+i))color(brown)((3+2i))`

`color(brown)(color(blue)(1)(3+2i)" "color(blue)(+i)(3+2i))`

`3+2i" "+" "3i+2i^2`

But `i^2=-1 =>2i^2=-2`

`3+5i-2" "=" "1+5i`