Distributive Property

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Algebra › Distributive Property

Questions 1 - 10
1

Foil:

Explanation

First:

Outside:

Inside:

Last:

2

Simplify the following expression using the FOIL method:

Explanation

Using the FOIL method is simple. FOIL stands for First, Outside, Inside, Last. This is to help us make sure we multiply every term correctly looking at the terms inside of each parentheses. We follow FOIL to find the multiplied terms, then combine and simplify.

First, stands for multiply each first term of the seperate polynomials. In this case, .

Inner means we multiply the two inner terms of the expression. Here it's .

Outer means multiplying the two outer terms of the expression. For this expression we have .

Last stands for multiplying the last terms of the polynomials. So here it's .

Finally we combine the like terms together to get

.

3

Multiply

Explanation

Using the FOIL method:

4

Foil:

Explanation

First:

Outside:

Inside:

Last:

5

Multiply

Explanation

Using the FOIL method:

6

Simplify the following expression using the FOIL method:

Explanation

Using the FOIL method is simple. FOIL stands for First, Outside, Inside, Last. This is to help us make sure we multiply every term correctly looking at the terms inside of each parentheses. We follow FOIL to find the multiplied terms, then combine and simplify.

First, stands for multiply each first term of the seperate polynomials. In this case, .

Inner means we multiply the two inner terms of the expression. Here it's .

Outer means multiplying the two outer terms of the expression. For this expression we have .

Last stands for multiplying the last terms of the polynomials. So here it's .

Finally we combine the like terms together to get

.

7

Use FOIL to distribute the following:

Explanation

Make sure you keep track of negative signs when doing FOIL, especially when doing the Outer and Inner steps.

8

Use FOIL to distribute the following:

Explanation

Make sure you keep track of negative signs when doing FOIL, especially when doing the Outer and Inner steps.

9

Use FOIL to distribute the following:

Explanation

When the 2 terms differ only in their sign, the -term drops out from the final product.

10

Use FOIL to distribute the following:

Explanation

When the 2 terms differ only in their sign, the -term drops out from the final product.

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