Question

Multiply (8 + 3i)(3 + 5i).

Answer 1

Greetings!

Expand.

`(8 + 3i)(3 + 5i)`
Distribute the parenthesis:

`3(8 + 3i)+5i(8 + 3i)`

`24+ 9i+40i + 15i^2`
Combine Like Terms.

`24+ 49i + 15i^2`
Rearrange to follow proper form.

`15i^2+49i+24`

Hope this helps.
-Benjamin

Answer 2

15i² + 49i + 33.

Explanation:

Given : (8 + 3i)(3 + 5i).

To find : Multiply .

Solution : We have given (8 + 3i)(3 + 5i).

Distribute 8 over (3 + 5i) and 3i over (3 + 5i).

8 (3 + 5i) + 3i(3 + 5i).

8 *3 + 8 * 5i + 3 *3i + 3i *5i.

24 + 40 i + 9i + 15 i².

Combine like terms

24 + 9i +40i + 15i².

24 + 49i + 15i².

Therefore,15i² + 49i + 33.