Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.4 - Adding and Subtracting Polynomials - Exercise Set: 45

Answer

$3a^{2}-6a+11$

Work Step by Step

$(-a^{2}+1)-(a^{2}-3)+(5a^{2}-6a+7)$ Remove all the parentheses. To remove the second one, change the sign of every term inside it: $-a^{2}+1-a^{2}+3+5a^{2}-6a+7=...$ Simplify by combining like terms: $...=(-1-1+5)a^{2}-6a+(1+3+7)=...$ $...=3a^{2}-6a+11$
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