Answer
See below
Work Step by Step
$\frac{x}{(x-5)(x+5)}+\frac{x-1}{(x+5)(x-8)}\\=\frac{x(x-8)+(x-1)(x-5)}{(x+5)(x-5)(x-8)}\\=\frac{x^2-8x+x^2-5x-x+5}{(x+5)(x-5)(x-8)}\\=\frac{2x^2-14x+5}{(x-5)(x+5)(x-8)}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.