Answer
$14x^{2}$ - 71x +36
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-9 )(7x - 4)
F = 2x.7x = $14x^{2}$
O = 2x.-4 = -8x
I = -9. 7x= -63x
L = -9.-4 = 36
(2x-9 )(7x - 4) = $14x^{2}$ -8x -63x + 36
combine like terms
$14x^{2}$ - 71x +36