Answer
$-x^3+4x^2 -4x-9$
Work Step by Step
We simplify by removing the parentheses and then combine the like terms as follows
$$
(x^2 - 3x - 4) - (x^3 - 3x^2 + x + 5)=x^2 - 3x - 4- x^3 +3x^2 - x -5\\
=-x^3+4x^2 -4x-9
.$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
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: 30
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