Answer
$-4-8i$
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:
$(-1+i)(-2+6i)$
=$-1(-2+6i)+i(-2+6i)$
=$2-6i-2i+6i^{2}$
=$2-8i+6i^{2}$
=$2-8i+6(-1)$
=$2-6-8i$
=$-4-8i$
