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[tex] i^{2} [/tex]
Combine like-terms.
40i + 9i = 49i.
Now, put your simplified answer in Standard Form;
15[tex] i^{2} [/tex] + 49i + 24
This is your answer.
I hope this helps!