# FOIL Method

How to use the FOIL method to multiply two binomials (a + b)(c + d): formula, 1 example, and its solution.

## FOIL Method

### Formula

The FOIL method is a way to multiply two binomials:

(a + b)(c + d).

FOIL shows the order of multiplication.

Multiply the First two terms: ac.

Multiply the Outer terms: +ad.

Multiply the Inner terms: +bc.

Multiply the Last two terms: +bd.

So (a + b)(c + d) = ac + bd + bc + bd.

## Example

### Example

### Solution

First multiply the First two terms: x⋅x = x^{2}.

Multiply the Outer terms: x⋅(-3) = -3x.

Multiply the Inner terms: (-2)⋅x = -2x.

And multiply the Last two terms: (-2)⋅(-3) = +6.

So (x - 2)(x - 3) = x^{2} - 3x - 2x + 6.

-3x - 2x = -5x

So x^{2} - 5x + 6 is the answer.