## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 8 Rational Functions - 8.6 Solve Rational Equations - 8.6 Exercises - Quiz for Lessons 8.4-8.6 - Page 595: 3

#### Answer

$$\frac{\left(x+4\right)\left(x+1\right)}{x^2-4x-21}$$

#### Work Step by Step

Dividing the two expressions and then cancelling out like terms and factors in the numerator and the denominator, we find: $$\frac{\left(x^2+9x+20\right)}{x^2-11x+28}\times \frac{x^2-3x-4}{\left(x^2+8x+15\right)}\\ \frac{\left(x+4\right)\left(x+5\right)\left(x+1\right)\left(x-4\right)}{\left(x-4\right)\left(x-7\right)\left(x+3\right)\left(x+5\right)}\\ \frac{\left(x+4\right)\left(x+1\right)}{x^2-4x-21}$$

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