Answer
$3-45i$
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:
$(-3-3i)(7+8i)$
=$-3(7+8i)-3i(7+8i)$
=$-21-24i-21i-24i^{2}$
=$-21-45i-24i^{2}$
=$-21-45i-24(-1)$
=$-21+24-45i$
=$3-45i$
