Question

How do you simplify `(7-2i)(6-4i)`?

Answer 1

`34-40i`

Explanation:

We define the product of two complex numbers `a+bi` and `c+di` as

`(a+bi)(c+di):=(ac-bd)+(ad+bc)i`

So

`(7-2i)(6-4i)=(42-8)+(-28-12)i=34-40i`