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.

To solve this, use the FOIL method.

Follow suit for .

Combine like terms and simplify.

Using the FOIL method: 

First terms multiplied: 

Outer terms: 

Inner terms: 

Last terms: 

Added together, they make the polynomial 

Use the following formula as an approach to FOIL method.

Simplify and combine like terms.

FOIL is a method used for distribution. It stands for first, outer, inner, and last. First you multiply the first terms, in this case  and . Next the first term and the outer term  and . Then, the inner terms  and . Finally, the last terms  and . This will give you the expression . When simplified the expression becomes .

The question requires the problem to be solved with the FOIL method (First, Outer, Inner, Last). This describes the process by which you expand a binomial.

Four terms are created from the multiplication of two binomials before simplification.

For example:

So we can fill in our variables and simplify by combining like terms.

Use the FOIL method and combine like terms.

FOIL stands for:

First (multiply the first term in each binomial together)

Outer (multiply the outer terms of each binomial together)

Inner (multiply the inner terms of each binomial together)

Last (multiply the last term from each binomial together)

Using the FOIL method on the above binomials we get the following.

To combine these two binomials completely one must use the FOIL method. The FOIL method is just a way to distribute terms when there are 4 or more terms to be multiplied and it is based off the simpler distributive rule that one would use to combine say . The F stands for "multiply the first term in each parenthesis". The O stands for "multiply the outer terms in each parenthesis." The I represents the multiplication of the inner terms in each parenthesis. Finally the L stands for "mutliply the last term in each parenthesis." After these four steps are complete just combine like terms.

First lets multiply the first term (3x) by everything in the second set of parenthesis:

Can you see how this is the same as steps F (3x and 10) and O (3x and 4x)

Next we will multiply the inner term (2) by everything in the second set of parenthesis:

Can you see how this is equivalent to step I (2 and 10) and L (2 and 4x)?

Now combine like terms:

In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given , then:

First: 

Outer: 

Inner: 

Last: 

Thus, by FOIL: