# Algebra 1 : How to use FOIL in the distributive property

## Example Questions

### Example Question #4821 : Algebra 1

Expand :

Explanation:

To expand , you must use the FOIL method to multiply the two expressions distributively. Utilizing the FOIL method gives you or .

### Example Question #11 : How To Use Foil In The Distributive Property

Use FOIL to simplify the expression .

Explanation:

FOIL stands for "First, Outside, Inside, Last" and represents a quick way to multiply binomials.

We start with the "first" terms of the expression  and multiply them together, yielding .

Multiplying the "outside" terms gives us

and the inside gives us .

Finally, multiplying the "last" terms yields , or .

Simple addition of these terms gives us the expression , and subtracting 2 gives us our final answer.

### Example Question #11 : Distributive Property

Expand:

Explanation:

To expand , you can use the FOIL method to multiply each  term individually. This will give you , or .

### Example Question #12 : How To Use Foil In The Distributive Property

Use the FOIL method to evaluate .

Explanation:

FOIL (First, Outside, Inside, Last) refers to a method used to multiply binomials. As the name indicates, our first step is to multiply the first terms of each binomial together. This gives us , or . Next, we multiply the "outside" terms together, yielding  or , and do the same for the "inside" terms, which yield . Finally, the product of the last terms in each binomial is , which equals . Our next step is adding these values together to get . So, our final answer is .

### Example Question #4822 : Algebra 1

Multiply

Explanation:

Using the FOIL method:

### Example Question #11 : How To Use Foil In The Distributive Property

Use the FOIL method to simplify

Explanation:

FIRST:

OUTER:

INNER:

LAST:

Simplify (combinding like terms):

### Example Question #11 : How To Use Foil In The Distributive Property

Evaluate using FOIL

Explanation:

First:

Outer:

Inner:

Last:

Simplify (combind like terms):

### Example Question #11 : Distributive Property

Factor the polynomial.

Explanation:

We need to factor to find terms that multiply to and add to .

Now we can write our factored expression.

We can check our answer using FOIL.

### Example Question #4831 : Algebra 1

Expand:

Explanation:

To multiply , you can use the FOIL method. Using the FOIL method, you must multiply each of the terms individually: . This gives you the end result of .

### Example Question #14 : Distributive Property

Multiply the following binomials.

Explanation:

Use the FOIL method.

First:

Inside:

Ouside:

Last:

Sum the terms. No terms can be combined in this example.