Simplify by removing factors of 1:

9t^2+9t/36t^2+81t

I'm not sure what you are asking for with "factors of 1".

9t/36t^2 = 1/4t or was this a typo?

To simplify the expression by removing factors of 1, we need to look for common factors in the numerator and denominator and cancel them out.

Let's factor each term separately:

In the numerator, we have 9t^2 + 9t. We can factor out 9t from both terms:

9t^2 + 9t = 9t(t + 1)

In the denominator, we have 36t^2 + 81t. We can factor out 9t from both terms:

36t^2 + 81t = 9t(4t + 9)

Now, let's rewrite the expression by factoring out the common factors:

(9t(t + 1))/(9t(4t + 9))

Now, we can cancel out the common factors of 9t:

(9t * (t + 1))/(9t * (4t + 9))

The 9t factors cancel out:

(t + 1)/(4t + 9)

Therefore, by removing the factors of 1, the simplified expression is (t + 1)/(4t + 9).