Intermediate Algebra (12th Edition)

Published by Pearson

Chapter 4 - Section 4.2 - Adding and Subtracting Polynomials - 4.2 Exercises: 63

Answer

$-3z^5+z^2+7z$

Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $(z^5+3z^2+2z)-(4z^5+2z^2-5z) ,$ simplifies to \begin{array}{l}\require{cancel} z^5+3z^2+2z-4z^5-2z^2+5z \\\\= (z^5-4z^5)+(3z^2-2z^2)+(2z+5z) \\\\= -3z^5+z^2+7z .\end{array}

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