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: 56

Answer

$$\left(b-3\right)^2\left(b+3\right)$$

Work Step by Step

Factoring the expression completely, we find: $$ -9\left(b-3\right)+b^2\left(b-3\right) \\ \left(b-3\right)\left(b^2-9\right) \\ \text { Recognize the difference of squares } \\ \left(b-3\right)\left(b+3\right)\left(b-3\right) \\ \left(b-3\right)^2\left(b+3\right)$$
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