#### Answer

$2x^{2}$ + 3x - 2

#### 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-1)(x+2)
F = 2x.x = $2x^{2}$
O = 2x.2 = 4x
I = -1.x = -x
L = -1.2 = -2
(2x-1)(x+2) = $2x^{2}$ + 4x - x - 2
combine like terms
$2x^{2}$ + 3x - 2