Answer
$59-17i$
Work Step by Step
We multiply each term of the first complex number with the second complex number and then simplify:
$(7-3i)(8+i)$
=$7(8+i)-3i(8+i)$
=$56+7i-24i-3i^{2}$
=$56-17i-3(-1)$ [We substitute -1 in place of $i^{2}$ as $i^{2}=-1$]
=$56+3-17i$
=$59-17i$
