Answer:
2x^2-5x-12
Explanation:
(2x+3)(x-4) can be simplified using the acronym FOIL, which stands for "first, outer, inner, last." This means that you multiply the first terms in each group, the the outer terms, then the inner terms, and lastly the last terms in each group.
2x*x=2x^2
2x*-4=-8x
3*x=3x
3*-4=-12
Combine those and you get 2x^2-8x+3x-12. Combine like terms, and your final answer is 2x^2-5x-12