reduce rational expression x-5/x-9

(x-5)/(x-9) = (x-5)(x+5)/(x-9)(x+5) =

(x-5)(x+5))/(x^2+5x-9x-45) =
(x-5)(x+5))/(x^2-4x-45) =
(x-5)(x+5)/(x+5)(x-9) = (x-5)/(x-9)

OOPS!!

Please disregard the above calculations and answer.

To simplify the given rational expression, we can factor both the numerator and denominator, if possible.

Given expression: (x - 5)/(x - 9)

First, let's check if we can factor both the numerator (x - 5) and the denominator (x - 9).

The numerator, x - 5, cannot be factored further since it is already in its simplest form.

For the denominator, x - 9, it cannot be factored either as it is also in its simplest form.

Therefore, the expression (x - 5)/(x - 9) cannot be simplified any further.