How to multiply binomials with the distributive property

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Algebra › How to multiply binomials with the distributive property

Questions 1 - 10
1

Expand:

None of the other answers

Explanation

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

or .

2

Multiply:

Explanation

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

Simplify by distribution.

Combine like-terms.

The answer is:

3

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).

4

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.

The answer is:

5

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.

The answer is:

6

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 .

7

Explanation

.

8

Expand:

None of the other answers are correct.

Explanation

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

9

Simplify the following expression.

None of the other answers

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.

10

Expand:

Explanation

First, FOIL:

Simplify:

Distribute the through the parentheses:

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

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