Problem
$\frac{x-5}{x^{2}-25}$
Solution
Step 1 ：Given expression: \(\frac{x-5}{x^{2}-25}\)
Step 2 ：Factor the denominator: \(\frac{x-5}{(x-5)(x+5)}\)
Step 3 ：Cancel common factors: \(\frac{1}{x+5}\)
Step 4 ：Final Answer: \(\boxed{\frac{1}{x+5}}\)
