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

.

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

.

Therefore:

Therefore:

Begin by factoring out a 2:

Then, we recognize that the trinomial can be factored into two terms, each beginning with :

Since the last term is negative, the signs of the two terms are going to be opposite (i.e. one positive and one negative):

Finally, we need two numbers whose product is negative thirty-five and whose sum is positive two. The numbers and fit this description. So, the factored trinomial is:

Begin by factoring out a 2:

Then, we recognize that the trinomial can be factored into two terms, each beginning with :

Since the last term is negative, the signs of the two terms are going to be opposite (i.e. one positive and one negative):

Finally, we need two numbers whose product is negative thirty-five and whose sum is positive two. The numbers and fit this description. So, the factored trinomial is:

We distribute each term in each parentheses to the terms of the other parentheses.

We get:

Which Simplifies:

We will arrange these from highest to lowest power, and adding a sign in between terms based on the coefficient of each term:

So, the answer is

We distribute each term in each parentheses to the terms of the other parentheses.

We get:

Which Simplifies:

We will arrange these from highest to lowest power, and adding a sign in between terms based on the coefficient of each term:

So, the answer is

First, we need to establish the dimensions of the box. We have the width, . The length is 4 more than 2 times the width, so we have , and the height is 5 more than the width, so we have .

We need to find the area. The area of a rectangular prism is given as length times width times height. So, we can write

To set it up using FOIL, it can be arranged as .

Through FOIL, we get , or .

First, we need to establish the dimensions of the box. We have the width, . The length is 4 more than 2 times the width, so we have , and the height is 5 more than the width, so we have .

We need to find the area. The area of a rectangular prism is given as length times width times height. So, we can write

To set it up using FOIL, it can be arranged as .

Through FOIL, we get , or .