Question

How do you simplify `(3 + 2i)(2 + 4i)`?

Answer 1

`-2 + 16i`

Explanation:

distribute the brackets using FOIL , or any method you use .

`(3+2i)(2+4i) = 6 + 12i + 4i +8i^2`

[ Note : `i^2 =(sqrt-1)^2 = -1`]

hence `6 +12i + 4i + 8i^2 = 6 + 16i - 8 = -2 + 16i`