Simply write it as a pair and FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

Simply write it as a pair and FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

For this question use FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

Don't be intimidated, just FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.  The answer is rearranged in the order of the powers of x.

Expand the following expression:

To begin, we need to realize that we cannot simply square both inside terms and call it a day. First, let's rewrite what we are given

Next, we can use FOIL, which stands for 

First

Outer

Inner 

Last

I've color coded each set, now we just need to simplify and combine like terms to get:

Remember that FOIL stands for First, Outer, Inner, Last. We will add up the different parts. If we had an expression

than we would have

First: 

Outer: 

Inner: 

Last: 

For this problem we have

First: 

Outer: 

Inner: 

Last: 

Adding these together gives

check: let's add the first two numbers and multiply that by the sum of the last two,

Multiply the first term of the first factor by the first term of the second factor.

This gives .

Then multiple the first term of the first factor by the second term of the second factor.

This gives .

Then multiply the second term of the first factor by the first term of the second factor to get .

Multiply the second term of the first factor by the second term of the second factor to get .

Then multply the third term of the first factor by the first term of the second factor to get .

Multiply the third term of the first factor by the second term of the second factor to get .

Finally, add all the terms together (you can do this because all the terms are positive) and combine like terms to get the answer.

Multiply the first term of the first factor by the first term of the second factor to get .

Multiply the first term of the first factor by the second term of the second factor to get .

Multiply the second term of the first factor by the first term of the second factor to get .

Multiply the second term of the first factor by the second term of the second factor to get .

Add these all together and arrange in order of descending exponents to get the answer.

It's easiest to set aside the x factor for later and just deal with the two factors in parentheses first.

Multiply the first term of the first factor by the first term of the second factor to get .

Multiply the first term of the first factor by the second term of the second factor to get .

Multiply the second term of the first factor by the first term of the second factor to get .

Multiply the second factor of the first term by the second factor of the second term to get .

Then add everything together in order of descending exponentials and combine like terms to get .

Then remember to multiply all terms by x to get the final answer!

Multiply the first term of the first factor by the first term of the second factor to get .

Multiply the first term of the first factor by the second term of the second factor to get .

Multiply the second term of the first factor by the first term of the second factor to get .

Multiply the second term of the first factor by the second term of the second factor to get .

Finally, add all these terms together in order of decreasing exponentials and paying attention to the negative numbers to get the answer.