Answer
$8x^2+18x-35$
Work Step by Step
FOIL means that you combine the first term from each expression, the inside terms, the outside terms and the last terms.
Thus, we distribute with the FOIL method as follows:
$$
(2x + 7)(4x-5)=8x^2+(28x-10x)-35=8x^2+18x-35
.$$