Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.4 - Adding and Subtracting Polynomials - Practice: 9

Answer

$6x^{2}y^{2}-9x^{2}y+8xy^{2}-y^{2}-4$

Work Step by Step

$(5x^{2}y^{2}+3-9x^{2}y+y^{2})-(-x^{2}y^{2}+7-8xy^{2}+2y^{2})$ Remove the grouping symbols. To remove the second parentheses, change the sign of every term inside it: $5x^{2}y^{2}+3-9x^{2}y+y^{2}+x^{2}y^{2}-7+8xy^{2}-2y^{2}=...$ Simplify by combining like terms: $...=(5+1)x^{2}y^{2}-9x^{2}y+8xy^{2}+(1-2)y^{2}+(3-7)=...$ $...=6x^{2}y^{2}-9x^{2}y+8xy^{2}-y^{2}-4$
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