Question

How do you simplify `3i+6(3-2i)`?

Answer 1

`18-9i`

Explanation:

Just like when dealing with variables, there are terms with a variable (eg. `3x` and `-2x`) and other terms without the x (eg. 6). The terms with the x or i combine together and the terms that don't combine with other terms that don't.

So starting with the original:

`3i+6(3-2i)`

we multiply the 6 through:

`3i+18-12i`

and combine

`18-9i`