Simplify the following expression completely.

Question

start fraction, x, squared, minus, 14, x, plus, 45, divided by, x, squared, minus, 18, x, plus, 81, end fraction
x
2
−18x+81
x
2
−14x+45
​

Answer 1

The expression can be factored as follows:

(x^2 - 14x + 45) / (x^2 - 18x + 81)

(x - 9)(x - 5) / (x - 9)(x - 9)

Simplifying further, we get:

(x - 5) / (x - 9)