Answer
False.
Work Step by Step
If the statement is true, then it should be true that $$(u^2-w) \cdot \frac{2u^2-w}{u^2-w}=2(u^2-w)$$ $$2u^2-w=2u^2-2w$$ However, this statement is not true. Thus, the statement is false.
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: 56
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