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

$\dfrac{x}{x^{2}+2x-15}+\dfrac{5}{x^{2}+2x-15}=\dfrac{1}{x-3}$
$\dfrac{x}{x^{2}+2x-15}+\dfrac{5}{x^{2}+2x-15}$ Evaluate the sum of the two rational expressions: $\dfrac{x}{x^{2}+2x-15}+\dfrac{5}{x^{2}+2x-15}=\dfrac{x+5}{x^{2}+2x-15}=...$ Factor the denominator of the resulting expression and simplify: $...=\dfrac{x+5}{(x+5)(x-3)}=\dfrac{1}{x-3}$