# Algebra 1 : Binomials

## Example Questions

### Example Question #1 : Simplifying Expressions

Simplify:

None of the other answers are correct.

Explanation:

First, distribute –5 through the parentheses by multiplying both terms by –5.

Then, combine the like-termed variables (–5x and –3x).

### Example Question #1 : How To Multiply Binomials With The Distributive Property

Expand:

Explanation:

First, FOIL:

Simplify:

Distribute the through the parentheses:

Rewrite to make the expression look like one of the answer choices:

Explanation:

.

### Example Question #1 : Binomials

Expand:

None of the other answers are correct.

Explanation:

Use the FOIL method, which stands for First, Inner, Outer, Last:

### Example Question #1 : Multiplication And Division

Using the distributive property, simplify the following:

Explanation:

The distributive property is handy to help get rid of parentheses in expressions. The distributive property says you "distribute" the multiple to every term inside the parentheses. In symbols, the rule states that

So, using this rule, we get

Thus we have our answer is .

### Example Question #1 : Binomials

Expand:

Explanation:

To multiple these binomials, you can use the FOIL method to multiply each of the expressions individually.This will give you

or .

### Example Question #3 : How To Multiply Binomials With The Distributive Property

Multiply:

Explanation:

In order to multiply the binomials, we will need to multiply each term of the first binomial with the terms of the second binomial.

Simplify each term.

Combine like terms and reorder the powers from highest to lowest order.

### Example Question #4 : How To Multiply Binomials With The Distributive Property

Multiply the binomials:

Explanation:

Multiply each term of the first binomial with the terms of the second binomial.

Simplify the terms of this expression.

There are no like terms to simplify.

### Example Question #5 : How To Multiply Binomials With The Distributive Property

Multiply:

Explanation:

Multiply each term of the first binomial with the second binomial and add the terms.

Simplify by distribution.

Combine like-terms.

### Example Question #6 : How To Multiply Binomials With The Distributive Property

Simplify the following expression.

Explanation:

Use the FOIL method to multiply the binomials given.

F:

O:

I:

L:

Group any like terms (none for this problem) when putting all the terms back together.