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: 57

Answer

$-10x^2y^2+4x^2+3$.

Work Step by Step

$9x^2y^2-3x^2-5$ ...(1) $-6x^2y^2-x^2-1$ ...(2) $5x^2y^2+2x^2-1$ ...(3) Add (2) and (3). $=(-6x^2y^2-x^2-1)+(5x^2y^2+2x^2-1)$ Clear the parentheses. $=-6x^2y^2-x^2-1+5x^2y^2+2x^2-1$ Add the like terms. $=-x^2y^2+x^2-2$ ... (4) Subtract (1) from (4). $=(-x^2y^2+x^2-2)-(9x^2y^2-3x^2-5)$ Clear the parentheses. $=-x^2y^2+x^2-2-9x^2y^2+3x^2+5$ Add the like terms. $=-10x^2y^2+4x^2+3$.
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