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 - Page 194: 16

Answer

$5x-14$

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: $(3x-5)+(2x-9) \\= (3x+2x)+[(-5)+(-9)] \\=(3+2)x + (-14) \\=5x -14$
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