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

Published by Pearson

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

#### 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: $...=\dfrac{(x-6)(x+1)}{x-6}=x+1$

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