Distributive Property - Algebra

Using the FOIL method:

This can be written as:

Multiply the terms together:

Multiply the first two terms:

FOIL:

Combine like terms:

(2x + 3)(x + 5)

First: 2x multiplied by x = 2x²

Outer: 2x multiplied by 5 = 10x

Inner: 3 multiplied by x = 3x

Lasts: 3 multiplied by 5 = 15

Put it all together: 2x² + 10x + 3x + 15

Simplify: 2x² + 13x + 15

First, factor the numerator of the quotient term by recognizing the difference of squares:

Cancel out the common term from the numerator and denominator:

FOIL (First Outer Inner Last) the first two terms of the equation:

Combine like terms:

This is a FOIL problem. First, we must set up the problem in a form we can use to create the function. To do this we take the opposite sign of each of the numbers and place them in this format: .

Now we can FOIL.

First:

Outside:

Inside:

Last:

Then add them together to get .

Combine like terms to find the answer, which is .

First:

Outside:

Inside:

Last:

First we will foil the first function before distributing.

We will then distribute out the

We will then distribute out the

Now the only like terms we have are and , so our final answer is:

distributes to , multiplying to become , and distributes to , multiplying to make .

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

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

:

Use the FOIL (First Outer Inner Last) method:

F:

O:

I:

L:

Put the terms together:

Simplify by combining like terms:

Use the FOIL (First Outer Inner Last) method.

To start, focus on the first terms and multiply them together:

Next, multiply the last terms, and , to get .

Finally, multiply the outside and inside terms, which should give you and .

Combine the like terms:

This gives you the final answer, .

If instead your answer was , you simply forgot to subtract at the end. If you got a different answer choice, you probably made a mistake with the signs when multiplying out the FOIL.

This is a FOIL-ing problem. First, set up the numbers in a form we can use to create the function.

Take the opposite sign of each of the numbers and place them in this format.

Multiply the in the first parentheses by the and 8 in the second parentheses respectively to get

Multiply the in the first parentheses by the and 8 in the second parentheses as well to give us .

Then add them together to get

Combine like terms to find the answer which is .

Simplify using FOIL method.

Remember that multiplying variables means adding their exponents.

F:

O:

I:

L:

Combine the terms. Note that we cannot simplify further, as the exponents do not match and cannot be combined.

Use the distributive property to simplify the expression. In general, .

Now we can begin to combine like terms through multiplication.

We cannot simplify further.

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.

To find the factors, you must determine which of the sets of factors result in the polynomial when multiplied together. Using the FOIL method, a set of factors with the form will result in . Applying this format to the given equation of , must equal 11 and must equal 24. The only set that works is .

If you use the FOIL method, you will multiply each expression individually. So, becomes , which simplifies to .