Answer
$2x^2 - 4x+6$
Work Step by Step
We simplify by removing the parentheses and then combine the like terms as follows
$$
(x^2 - x + 2) + (2x^2 - 3x + 5) - (x^2 + 1)=x^2 - x + 2+ 2x^2 - 3x + 5 - x^2 -1\\
= 2x^2 - 4x+6
.$$
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: 37
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