Answer
$x^{2}$ - 2x - 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,
(x-5)(x+3)
F = x.x = $x^{2}$
O = x.3 = 3x
I = -5.x = -5x
L = -5.3 = -15
(x-5)(x+3) = $x^{2}$ + 3x - 5x - 15
combine like terms
$x^{2}$ - 2x - 15
