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

Answer:

15i² + 49i + 33.

Step-by-step 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.