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

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 3 - Quadratic Functions - Exercises for Skills for Factoring - Page 135: 57



Work Step by Step

Factoring the expression completely, we find: $$ -9\left(d^2-25\right)+c^2\left(d^2-25\right) $$ Recognize the difference of squares: $$\left(d^2-25\right)\left(c^2-9\right) \\ \left(d+5\right)\left(d-5\right)\left(c^2-9\right) \\ \left(d+5\right)\left(d-5\right)\left(c+3\right)\left(c-3\right)$$
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