Students learn to multiply two binomials together using the F.O.I.L. method: First, Outer, Inner, Last. For example, to simplify (2x + 3)(x - 5), take the product of the First terms, which is 2x^2, plus the product of the Outer terms, which is -10x, plus the product of the Inner terms, which is +3x, plus the product of the last terms, which is -15. So the problem reads 2x^2 - 10x + 3x - 15. Finally, combine the like terms -10x + 3x, to get -7x, so the final answer is 2x^2 - 7x - 15.