Answer
$$-x^2+ 9x -16
.$$
Work Step by Step
We simplify by removing the parentheses and then add the like terms as follows:
$$
(2x^2 + 5x - 9) - (3x^2 - 4x + 7)\\
=2x^2 + 5x - 9 - 3x^2 + 4x - 7\\
=-x^2+ 9x -16
.$$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 5 - Section 5.3 - Addition and Subtraction of Polynomials - Exercise - Page 221: 38
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