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: 48

Answer

$2x^4y^2+11x^3y-y-8x$

Work Step by Step

Consider the given polynomial $(5x^4y^2+6x^3y-7y)-(3x^4y^2-5x^3y-6y+8x)$ 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, $(5x^4y^2+6x^3y-7y)-(3x^4y^2-5x^3y-6y+8x)=5x^4y^2+6x^3y-7y-3x^4y^2+5x^3y+6y-8x$ or, $=5x^4y^2-3x^4y^2+6x^3y+5x^3y-y-8x$ or, $=2x^4y^2+11x^3y-y-8x$
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