Question

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

Answer 1

This is `(8+i)`.

Explanation:

This can be multiplied just like any other binomial * binomial:
FOIL.

so we have `(6 + 4i - 3i - 2i^2)`

Since `i^2 = -1`, the last term is equal to `+2`

So we have `(6 + 4i - 3i +2)`

Combine like terms and get the answer `(8+i)`