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: 36

Answer

$8x^3 -24x^2 - 48x+4$

Work Step by Step

We simplify by removing the parentheses and then combine the like terms as follows $$ 8(4x^3 - 3x^2 - 1) - 6(4x^3 + 8x - 2)=32x^3 - 24x^2 - 8 - 24x^3 -48x +12\\ = 8x^3 -24x^2 - 48x+4 .$$
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