## Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley

# Chapter 11 - Polynomial and Rational Functions - Exercises to Skills Review for Chapter 11 - Page 494: 30

#### Answer

$$x\left(x+2\right)$$

#### Work Step by Step

Recalling that dividing by a fraction is the same as multiplying: $$\frac{x^3}{x-4}\cdot \frac{x^2-2x-8}{x^2} \\ \frac{x\left(x+2\right)\left(x-4\right)}{x-4} \\ x\left(x+2\right)$$

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