Question 328094: Simplify by removing factors of 1
n^2-81/(n+9)^2
Thank you
Answer by jessica43(140)   (Show Source):
You can put this solution on YOUR website! First you want to factor out the numerator:
n^2 - 81 =
(n+9)*(n-9)
So now your problem looks like this:
((n+9)*(n-9))/((n+9)^2)
The denominator can also be rewritten as (n+9)(n+9), so:
((n+9)*(n-9))/((n+9)*(n+9))
Now you can cancel an (n+9) from the numerator and denominator:
(n-9)/(n+9)
So your simplified answer is (n-9)/(n+9).
In answer to your question, your final answer doesn't have to have parenthesis, I just put them in there so it is easier to tell what you are dividing . If you write it like this:
n-9/n+9, a person might think the middle term is -9/n instead of the whole equation being part of a fraction. I just wanted to make my answer as clear as possbile for you!
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