Problem

$\frac{x-5}{x^{2}-25}$

Answer

Expert–verified
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Answer

Final Answer: \(\boxed{\frac{1}{x+5}}\)

Steps

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: \(\boxed{\frac{1}{x+5}}\)

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