Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.1 - Addition and Subtraction of Polynomials - Problem Set 5.1: 17

Answer

$4y+10$

Work Step by Step

RECALL: The distributive property states that for any real numbers a, b, and c: $ac+bc= (a+b)c$ Add the polynomials by regrouping the terms and then combining like terms using the distributive property to obtain: $(-5y-3)+(9y+13) \\= (-5y+9y)+(-3+13) \\=(-5+9)y + 10 \\=4y+10$
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