Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.1 - Introduction to Polynomials and Polynomial Functions - Exercise Set - Page 325: 46



Work Step by Step

Consider the given polynomial $(x^4-7xy-5y^3)-(6x^4-3xy+4y^3)$ Need to drop the parentheses and will have to change the sign of each term of the second polynomial because of the presence of the negative outside. Thus, $(x^4-7xy-5y^3)+(-6x^4+3xy-4y^3)=x^4-7xy-5y^3-6x^4+3xy-4y^3$ or, $=x^4-6x^4-7xy+3xy-5y^3-4y^3$ or, $=-5x^4-4xy-9y^3$
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