Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.2 - Adding and Subtracting Polynomials - 4.2 Exercises: 49

Answer

$3m+11$

Work Step by Step

We are given the polynomial $4-(2+3m)+6m+9$. First, we can use the distributive property to multiply out the terms in parentheses. $4-(2+3m)+6m+9=4+(-1\times2)+(-1\times3m)+6m+9=4-2-3m+6m+9$ Next, we can combine like terms. $4-2-3m+6m+9=(-3+6)m+(4-2+9)=(3)m+(11)=3m+11$
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