Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A31: 40

Answer

$ -4y^3+4y^2 +4y + 12$

Work Step by Step

We simplify by removing the parentheses and then combine the like terms as follows $$ 8(1 - y^3) + 4(1 + y + y^2 + y^3)=8-8 y^3+ 4 + 4y +4 y^2 +4 y^3\\ = -4y^3+4y^2 +4y + 12 .$$
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