## Thinking Mathematically (6th Edition)

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