Answer
$11-13i$
Work Step by Step
Multiplying each term of the first expression with the whole the second expression to simplify, we obtain:
$(3+i)(2-5i)$
=$3(2-5i)+i(2-5i)$
=$6-15i+2i-5i^{2}$
=$6-15i+2i-5(-1)$ (as $i^{2}=-1$)
=$6-15i+2i+5$
=$6+5-15i+2i$
=$11-13i$