Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.7 Polynomials in Several Variables - 4.7 Exercise Set: 41

Answer

$-2y^4x^3-2y^3x$

Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $ (2y^4x^3-3y^3x)+(5y^4x^3-y^3x)-(9y^4x^3-y^3x) ,$ simplifies to \begin{array}{l}\require{cancel} 2y^4x^3-3y^3x+5y^4x^3-y^3x-9y^4x^3+y^3x \\\\= (2y^4x^3-9y^4x^3+5y^4x^3)+(-3y^3x-y^3x+y^3x) \\\\= -2y^4x^3-2y^3x .\end{array}
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