SOLUTION: I am not sure how to simplify this problem: {{{ (3^(n+2)-3^n)/(3^(n-1)+3^n) }}} I know that if there was one monomial in the denominator than i would divide each monomial in the n

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Question 537872: I am not sure how to simplify this problem:
I know that if there was one monomial in the denominator than i would divide each monomial in the numerator by the denominator but i am not sure what to do here.
Thank You
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
I am not sure how to simplify this problem:
I know that if there was one monomial in the denominator than i would divide each monomial in the numerator by the denominator but i am not sure what to do here.
----------------------

Divide NUM and DEN by 3^n
=
=
= 6
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Remember that



So



is just another way to say



Likewise



So let's do a little substituting:



Looking at the numerator, we have 9 of something minus 1 of the same thing. Looking at the denominator, we have 1/3 of something plus 1 of the same thing. Hence:



goes away and you are left with



John

My calculator said it, I believe it, that settles it
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