Simplify by removing factors of 1.

9v-81 over 9v

We can factor out 9 in the numerator:

9((1v -9)/9v =
Then we can divide out the 9 in the numberaor and the 9 in the denominator to obtain
(v-9)/v

To simplify the expression 9v - 81 / 9v by removing factors of 1, we need to identify any common factors in both the numerator (9v - 81) and the denominator (9v) and cancel them out.

Let's start with the numerator, 9v - 81. Notice that we can factor out a common factor of 9:
9v - 81 = 9(v - 9)

Now let's focus on the denominator, 9v. There are no common factors to cancel out.

Now we can rewrite the original expression as:

(9v - 81) / 9v = (9(v - 9)) / 9v

Next, we can cancel out the common factor of 9 in the numerator and denominator:

(9(v - 9)) / 9v = (v - 9) / v

Therefore, the simplified expression, after removing factors of 1, is (v - 9) / v.