Answer
$-13x^2 -8y^2 +5x $
Work Step by Step
We simplify by removing the parentheses and then add the like terms as follows:
$$
(-13x^2 - 3y^2 - 4y) - (-5x - 4y + 5y^2)\\
=-13x^2 - 3y^2 - 4y +5x + 4y - 5y^2\\
=-13x^2 -8y^2 +5x
.$$
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: 42
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