Answer
$$x\left(x+2\right)$$
Work Step by Step
Recalling that dividing by a fraction is the same as multiplying:
$$\frac{x^3}{x-4}\cdot \frac{x^2-2x-8}{x^2} \\ \frac{x\left(x+2\right)\left(x-4\right)}{x-4} \\ x\left(x+2\right)$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 11 - Polynomial and Rational Functions - Exercises to Skills Review for Chapter 11 - Page 494: 30
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