Chapter 7 - Section 7.3 - Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator - Exercise Set - Page 509: 51

$\dfrac{x^{2}}{x-6}-\dfrac{5x+6}{x-6}=x+1$

$\dfrac{x^{2}}{x-6}-\dfrac{5x+6}{x-6}$ Evaluate the substraction of the two rational expressions: $\dfrac{x^{2}}{x-6}-\dfrac{5x+6}{x-6}=\dfrac{x^{2}-(5x+6)}{x-6}=\dfrac{x^{2}-5x-6}{x-6}=...$ Factor the numerator and simplify: $...=\dfrac{(x-6)(x+1)}{x-6}=x+1$