how do you factor (2n-6)

Tutors, sign in to answer this question.

When they're asking about factoring, think division.

What number can you pull out of both the numbers you see?

(2n) and (-6)

They have to be divided evenly. Out of the 2n and the -6, you can divide a 2 out of each, evenly. Once you pull out the 2, ask yourself 2 times what will give me 2n (the first number in the parenthesis above this paragraph). 2 times (N) will give you 2n. So, the 'n' goes back inside the parenthesis. Next, ask yourself the same question about the second number above this paragraph: (-6). 2 times what will give you (-6). Well, 2 times (-3) will give you (-6). The answer to those three questions gives you the solution. The first answer was 2. Put it outside the parenthesis. The second answer was 'n'. It goes on the inside of the parenthesis and the last answer was (-3). It goes inside the parenthesis too right after the 2. Answer: 2(n-3)

:)

Rana

Roccio, in case you didn't understand the other answer, factoring means that you take out any elements the terms have in common. In this case, 2 can be "divided out" from 2n-6 for form

2(n-3).

Having the 2 outside the parenthesis indicates you would MULTPLY 2 by all the terms in the parenthesis. so 2 * n = 2n and 2 * 3 = 6. That is how the answer 2 (n-3) was obtained from 2n-6.

Good luck!

David M. | Math Tutor in Many Areas.Math Tutor in Many Areas.

Hi Rocio;

There is only one way to factor this...

2(n-3)

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.