How to multiply two binomials

When multiplying 2 binomials, use the FOIL method. Here's an example:

(5x - 1) (3x - 2)

FOIL stands for: First, Outer, Inner, Last.

1) Multiply the first numbers in each binomial.

5x • 3x = 15x^2

2) Multiply the outer numbers in each binomial.

5x • - 2 = - 10x

3) Multiply the inner numbers in each binomial.

-1 • 3x = - 3x

4) Multiply the last numbers in each binomial.

-1 • - 2 = 2

After doing this, put all of your new terms in the order in which they were solved. The original problem then becomes this:

15x^2 - 10x - 3x + 2

Simplify this by turning (-10x - 3x) into - 13x.

The final answer would be: 15x^2 - 13x + 2.