#### Answer

$2x^{2}$ + x - 15

#### Work Step by Step

Two binomials can be quickly multiplied by using the FOIL method, in which F represents the product of the first terms in each binomial, O represents the product of the outside terms, I represents the product of the two inside terms, and L represents the product of the last,
(2x-5)(x+3)
F = 2x.x = $2x^{2}$
O = 2x.3 = 6x
I = -5.x = -5x
L = -5.3 = -15
(2x-5)(x+3) = $2x^{2}$ + 6x -5x - 15
combine like terms
$2x^{2}$ + x - 15