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: 35

Answer

$-2x^3 +18 x^2 - 18 $

Work Step by Step

We simplify by removing the parentheses and then combine the like terms as follows $$ 6(x^3 + x^2 - 3) - 4(2x^3 - 3x^2)= 6x^3 +6 x^2 - 18 - 8x^3 +12x^2\\ = -2x^3 +18 x^2 - 18 .$$
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