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 - Page 286: 85



Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $ -[3z^2+5z-(2z^2-6z)]+[(8z^2-[5z-z^2])+2z^2] ,$ simplifies to \begin{array}{l}\require{cancel} -[3z^2+5z-2z^2+6z]+[(8z^2-5z+z^2)+2z^2] \\\\= -[3z^2+5z-2z^2+6z]+[8z^2-5z+z^2+2z^2] \\\\= -3z^2-5z+2z^2-6z+8z^2-5z+z^2+2z^2 \\\\= (-3z^2+2z^2+8z^2+z^2+2z^2)+(-5z-6z-5z) \\\\= 10z^2-16z .\end{array}
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