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: 17

Answer

$x^4y^2+8x^3y+y-6x$

Work Step by Step

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