$\frac{x-5}{x^{2}-25}$
Final Answer: \(\boxed{\frac{1}{x+5}}\)
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: \(\boxed{\frac{1}{x+5}}\)