Answer
$\dfrac{x^{2}}{x-6}-\dfrac{5x+6}{x-6}=x+1$
Work Step by Step
$\dfrac{x^{2}}{x-6}-\dfrac{5x+6}{x-6}$
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:
$...=\dfrac{(x-6)(x+1)}{x-6}=x+1$