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To factor the expression 6x² - 18, you can start by finding the greatest common factor (GCF) of the terms. In this case, the GCF is indeed 6. So, you can factor 6 out of both terms:

6x² - 18 = 6(x² - 3)

Now, you have factored out the 6, and you're left with the expression inside the parentheses, which is x² - 3.

Eliott's area model represents the factored expression as follows:

Width: 6

Length: x² - 3

So, the width of Eliott's area model is 6, and the length is x² - 3. This represents the factored form of the expression.

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Related Questions

Why do you need the common prime factors when finding the greatest common factor?

You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.


When trying to find the greatest common factor between a negative and a positive what sign would you use?

fhfhfhfhfhf


What number is the greatest common factors of a number under 50?

If we are trying to find the two numbers less than 50 with the greatest common factor, we need to pick two numbers with a larger difference between them, since the greatest common factor between two numbers cannot be greatest than the difference between the two numbers. To create a large difference, we will want one number to be close in value to 50. And, for the greatest common factor, we want the other number itself to be the greatest common factor. The greatest common factor that the larger number can have (since it is larger and thus cannot be the greatest common factor itself) is the number which is half its value. So, if we choose the even number closest in value to 50, we get 48. Then, if we take half of it, we get 24. The greatest common factor of 24 and 48 is 24. This is the largest possible greatest common factor of a pair of numbers less than 50.


What are some occasions that people would want to find the greatest common factor of a number?

When they are trying to reduce fractions.


What is the greatest common factor of 33 and 46?

Well, honey, the greatest common factor of 33 and 46 is 1. Those two numbers don't have any common factors other than 1. So, don't waste your time trying to find a bigger factor, 'cause it ain't gonna happen.


What is the greatest common factor of 16 and 63?

Well, darling, the greatest common factor of 16 and 63 is 1. Those two numbers have nothing in common except for their own fabulous selves. So, don't waste your time trying to find a common factor between them, just let them shine independently.


What numbers can 1045 be divided by?

You can divide it by 5. If you are trying to find the greatest common factor then you divide by 5 then you should get 209. From there I'm lost. Update this answer so it can be better.


What is the greatest common factor of 42 and 238?

The greatest common factor of these numbers is 14. Note: If this question is from work you have been assigned by a teacher or professor, I suggest you do the work yourself instead of trying to find the answers online. This will help you to better understand the material and become more familiar with it. Of course, if this question was not from homework, you can disregard this message.


What is the greatest common factor of 504 and 588?

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 504 and 588 is 84


What is the trick to finding the greatest common factors?

Finding the GCF will help you when you are trying to reduce fractions.


What is the answer to the common factor 48 and 30?

I suspect you're trying to ask "What is the greatest common factor of 48 and 30 ?", but I can't be sure. -- The factors of 48 alone are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. -- The factors of 30 alone are 1, 2, 3, 5, 6, 10, 15, and 30. -- The common factors of 48 and 30 are 1, 2, 3, and 6. -- Their greatest common factor of 48 and 30 is 6 .


What is the greatest common factor of 16 24 and 32?

The three greatest common factors of 32, 24, and 16 are 8, 4, and 2 .