Answer
$x^3+4x^2 -4x+6$
Work Step by Step
We simplify by removing the parentheses and then combine the like terms as follows
$$
(x^3 + 3x^2 + 2) + (x^2 - 4x + 4)=x^3 + 3x^2 + 2 + x^2 - 4x + 4\\
=x^3+4x^2 -4x+6
.$$
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: 28
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