Simplify the expression. Show your work.
(Type your answer in the form a+bi.)
(3 + i)(8 - 5i)
To simplify the expression (3 + i)(8 - 5i), we can distribute using the FOIL method:
(3 + i)(8 - 5i) = 3(8) + 3(-5i) + i(8) + i(-5i)
= 24 - 15i + 8i - 5i^2
Since i^2 is equal to -1, we can simplify further:
24 - 15i + 8i - 5i^2 = 24 - 7i - 5(-1)
= 24 - 7i + 5
= 29 - 7i
Therefore, the simplified expression is 29 - 7i.