#### Answer

$12x^{2}$ - 43x +35

#### 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,
(3x-7)(4x - 5)
F = 3x.4x = $12x^{2}$
O = 3x.-5 = -15x
I = -7. 4x= -28x
L = -7.-5 = 35
(3x-7)(4x -5) = $12x^{2}$ -15x -28x + 35
combine like terms
$12x^{2}$ - 43x +35