Question

What's (8 + 3i)(3 + 5i).

Answer 1

Hello there!

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

We must distribute each number/variable to the others in the opposite parenthesis.

8(3 + 5i) = 24 + 40i
3i(3 + 5i) = 9i + 15$i^{2}$

Combine like-terms.
40i + 9i = 49i.

Now, put your simplified answer in Standard Form;
15$i^{2}$ + 49i + 24

This is your answer.

I hope this helps!