Answer
$$x+y$$
Work Step by Step
Simplifying the expression using the rules of Algebra, we find:
$$\frac{x^2-\frac{3}{4}-\left(y^2-\frac{3}{4}\right)}{x-y} \\ \frac{x^2-y^2}{x-y} \\ \frac{\left(x+y\right)\left(x-y\right)}{x-y} \\ x+y$$
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 1 - Linear Functions and Change - 1.2 Rate of Change - Exercises and Problems for Section 1.2 - Skill Refresher - Page 14: S9
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