Answer
$-34+31i$
Work Step by Step
We first use the FOIL method to simplify the expression. Then, knowing that $i=\sqrt{-1}$, we can substitute $-1$ for $i^{2}$ to obtain:
$(2+5i)(3+8i)$
=$2(3+8i)+5i(3+8i)$
=$6+16i+15i+40i^{2}$
=$6+31i+40i^{2}$
=$6+31i+40(-1)$
=$6-40+31i$
=$-34+31i$
