Answer
$13+18i$
Work Step by Step
Start with the given expression: $(2+5i)(4-i)$.
Distribute binomials: $8+20i-2i-5i^{2}$.
Substitute $i^{2}=-1$ into the expression: $8+20i-2i+5$.
Combine real and imaginary terms to arrive at the answer: $13+18i$.