Find the difference. \[ \frac{8}{x^{2}-9 x}-\frac{1}{x^{2}-81} \] Enter the correct answer.

Step 1 ：The problem is asking for the difference between two fractions. To find the difference between two fractions, we need to find a common denominator.

Step 2 ：The denominators of the two fractions are \(x^{2}-9 x\) and \(x^{2}-81\). We can factor these expressions to find a common denominator.

Step 3 ：The common denominator will be the product of the unique factors of each denominator. So, the common denominator is \(x*(x - 9)^{2}*(x + 9)\).

Step 4 ：Subtract the two fractions using the common denominator to get the difference. The difference is \((x - 9)*(7*x + 72)\).

Step 5 ：Final Answer: The difference is \(\boxed{(x - 9)(7x + 72)}\).