Simplify the rational expression. (x-8)/(x^2)-64 (1)/(x+8) You're right! E

To simplify the rational expression $\frac{x-8}{x^2-64}$, we need to factor the denominator.<br /><br />The denominator $x^2-64$ is a difference of squares, which can be factored as $(x-8)(x+8)$.<br /><br />So, the expression becomes $\frac{x-8}{(x-8)(x+8)}$.<br /><br />Now, we can cancel out the common factor $(x-8)$ in the numerator and denominator.<br /><br />The simplified expression is $\frac{1}{x+8}$.<br /><br />Therefore, the correct answer is $\frac{1}{x+8}$.