Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.4 - Polynomials in Several Variables - Exercise Set - Page 375: 18



Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $ (5x^4y^2+6x^3y-7y)-(3x^4y^2-5x^3y-6y+8x) ,$ simplifies to \begin{array}{l}\require{cancel} 5x^4y^2+6x^3y-7y-3x^4y^2+5x^3y+6y-8x \\\\= (5x^4y^2-3x^4y^2)+(6x^3y+5x^3y)+(-7y+6y)-8x \\\\= 2x^4y^2+11x^3y-6y-8x .\end{array}
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