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 285: 62

Answer

$-2q^4-7q^2+15$

Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $ (q^4-2q^2+10)-(3q^4+5q^2-5) ,$ simplifies to \begin{array}{l}\require{cancel} q^4-2q^2+10-3q^4-5q^2+5 \\\\= (q^4-3q^4)+(-2q^2-5q^2)+(10+5) \\\\= -2q^4-7q^2+15 .\end{array}
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