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

## Example Questions

### Example Question #41 : How To Use Foil In The Distributive Property

Expand by FOILing:

Explanation:

First:

Outside:

Inside:

Last:

Add the values together and combine like terms:

### Example Question #41 : Distributive Property

Use FOIL to combine like terms in the following expression:

Explanation:

FOIL (first, outside, inside, last) is a device to help students remember to multiply every term by every other term exactly one time. The steps of using FOIL progress as follows:

1) Multiply the first term of each parenthetical expression together:

2) Next, multiply the "outside" terms together:

Add that to the first product, since the terms are all being added together in the parentheses, and the distributive property requires that we maintain the sign:

3) Multiply the "inside" terms together:

Add that to the first two products:

4) Finally, multiply the last terms from each parenthetical expression together:

Add all of the terms together and combine like terms where possible:

### Example Question #42 : How To Use Foil In The Distributive Property

Multiply the following expressions together using FOIL:

Explanation:

FOIL (first, outside, inside, last) is a device to help students remember to multiply every term by every other term exactly one time. The steps of using FOIL progress as follows:

1) Multiply the first term of each parenthetical expression together:

2) Next, multiply the "outside" terms together:

Add that to the first product, since the terms are all being added together in the parentheses, and the distributive property requires that we maintain the sign:

3) Multiply the "inside" terms together:

Add that to the first two products:

4) Finally, multiply the last terms from each parenthetical expression together:

Add all of the terms together and combine like terms where possible:

### Example Question #42 : How To Use Foil In The Distributive Property

We usually use the FOIL method of distribution for expanding polynomials, but it is actually a property of numbers.  Try to solve the product by foiling instead of computing directly.

Explanation:

Using the FOIL distribution method:

First:

Outer:

Inner:

Last:

Resulting in:

The 50's cancel leaving us with:

### Example Question #41 : How To Use Foil In The Distributive Property

Expand and simplify.

Explanation:

Using the FOIL distribution method:

First:

Outer:

Inner:

Last:

Resulting in:

Combining like terms, the 's combine for a final answer of:

### Example Question #41 : How To Use Foil In The Distributive Property

Use the FOIL method to simplify the expression .

Explanation:

Begin by considering the first part of this expression, . Multiplying the first terms gives

The product of the outside terms is  and that of the inside terms is , and the product of the last terms is . Altogether, this yields

as the value of the first part of the expression.

Finally, we just need to add the value of the second part,

The final, simplified value of the expression is .

### Example Question #42 : How To Use Foil In The Distributive Property

Expand:

Explanation:

To expand the equation, you can use the FOIL method, which distributively multiplies each individual term within both binomials. This gives you

or

### Example Question #43 : How To Use Foil In The Distributive Property

Expand:

Explanation:

To multiply the binomials, you can utilize the FOIL method to multiply each term individually, which would give you

or

### Example Question #49 : How To Use Foil In The Distributive Property

Expand:

Explanation:

To multipy the binomials, use the FOIL method to multiply each expression individually:

or

.

Expand: