Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.4 Factoring Polynomials - R.4 Exercises - Page 43: 32



Work Step by Step

Regroup: $=(4x^6+36)+(-x^6y-9y)$ Factor out $4$ in the first and $-y$ in the second group to obtain: $=4(x^6+9)+(-y)(x^6+9)$ Factor out $x^6+9$ to obtain: $=(x^6+9)[4+(-y)] \\=\color{blue}{(x^6+9)(4-y)}$
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