Simplify the product using FOIL.
(4x+3)(2x+5)
Using the FOIL method, we have:
(4x+3)(2x+5) = 4x * 2x + 4x * 5 + 3 * 2x + 3 * 5
= 8x^2 + 20x + 6x + 15
= 8x^2 + 26x + 15
Therefore, the simplified product using FOIL is 8x^2 + 26x + 15.