You have posted:

. . . . .9x<sup>2</sup> + 6x + (1/1) - 9x<sup>2</sup>

I will assume you meant:

. . . . .(9x<sup>2</sup> + 6x + 1)/(1 - 9x<sup>2</sup>)

Factor the numerator and denominator, and cancel the common factor.

(It might help if you factored a "-1" out of the denominator first, and factored the difference of squares. This will give you a hint of what to look for in the numerator.)

If you get stuck, or if I misinterpreted your meaning (for which I apologize in advance), please reply with corrections and/or clarifications, showing how far you have gotten. Thank you.

Eliz.