SOLUTION: Simplify the exponential expression: {{{3^(n+1)-3^(n-2)}}}

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Question 979351: Simplify the exponential expression:
3%5E%28n%2B1%29-3%5E%28n-2%29
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the exponential expression:
3%5E%28n%2B1%29-3%5E%28n-2%29
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= 3%5E3%2A3%5E%28n-2%29-3%5E%28n-2%29
= 27%2A3%5E%28n-2%29+-+1%2A3%5E%28n-2%29
= 26%2A3%5E%28n-2%29

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The expression may already be SIMPLIFIED.

That can be factored if that is really what you want, and might give you some way to put into a different form. Notice the difference between the exponents.
n%2B1-%28n-2%29=1-%28-2%29=1%2B3=3.
Maybe you can try factoring 3^3 from one of the terms, and see what else you can do...

RULES OF EXPONENTS:
3%5E%28n%2B1%29-3%5E%28n-2%29
3%5E3%2A3%2A%28n%2B1-3%29-3%5E%28n-2%29
3%5E3%2A3%5E%28n-2%29-3%5E%28n-2%29
and other steps you should be able to decide.