SOLUTION: Simplify {[3^(2n)] - 1} / {[3^(n+1)] - 3}. Thank you :)

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Question 1126069: Simplify {[3^(2n)] - 1} / {[3^(n+1)] - 3}. Thank you :)
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Simplify:

The numerator factors as the difference of squares:



In the denominator, take one factor of 3 out of "3^(n+1)"; then factor out the common factor of the two terms:



Now simplify:


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