## Algebra: A Combined Approach (4th Edition)

$\dfrac{x}{x^{2}-36}+\dfrac{6}{x^{2}-36}=\dfrac{1}{x-6}$
$\dfrac{x}{x^{2}-36}+\dfrac{6}{x^{2}-36}$ Evaluate the sum: $\dfrac{x}{x^{2}-36}+\dfrac{6}{x^{2}-36}=\dfrac{x+6}{x^{2}-36}=...$ Factor the denominator and simplify: $...=\dfrac{x+6}{(x-6)(x+6)}=\dfrac{1}{x-6}$