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: 80

Answer

$5z^2-7x+2m$

Work Step by Step

In symbols, the given statement is equivalent to \begin{array}{l}\require{cancel} [(2z^2-3x+m)+(z^2-2m)]-[-(-4x+2z^2+3m)] .\end{array} Removing the grouping symbols and then combining like terms, the expression above simplifies to \begin{array}{l}\require{cancel} 2z^2-3x+m+z^2-2m-[4x-2z^2-3m] \\\\= 2z^2-3x+m+z^2-2m-4x+2z^2+3m \\\\= (2z^2+z^2+2z^2)+(-3x-4x)+(m-2m+3m) \\\\= 5z^2-7x+2m .\end{array}
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