Answer
$2-19i$
Work Step by Step
Start with the given expression: $(1-2i)(8-3i)$.
Distribute binomials: $8-3i-16i+6i^{2}$.
Substitute $i^{2}=-1$ into the expression: $8-19i-6$.
Combine real and imaginary terms to arrive at the answer: $2-19i$.