Question

How do you simplify `(2-9i)(9-6i)` and write the complex number in standard form?

Answer 1

`(2-9i)(9-6i)=-36-93i`

Explanation:

Using that `i^2=-1`:

`(2-9i)(9-6i)`

`=18-12i-81i+54i^2`

`=18-12i-81i-54`

`=-36-93i`