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

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: S7

Answer

$$-3x^{2}-4xa-a^{2}$$

Work Step by Step

Initial: $x^{2}-(2x+a)^{2}$ First, rewrite the $(2x+a)^{2}$ in its expanded form: $(2x+a)(2x+a)$ Then FOIL it: $$x^{2}-(4x^{2}+4xa+a^{2})$$ After that, distribute the negative: $$x^{2}-4x^{2}-4xa-a^{2}$$ Then simplify by combining like terms: $$-3x^{2}-4xa-a^{2}$$
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