Thread: Index Laws

Hello

Here's the problem I need a hand with, I need to simplify it:

(3^2n + 5x3^n + 6)/(3^n + 3)

Thanks in advance, all help is really appreciated

Recall that:



Now it might be hard to see but the numerator essentially resembles a quadratic that you can factor. To see, let .

This yields:

Can you do it now?