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 - Review Exercises - Page 415: 48

Answer

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

Work Step by Step

Subtracting a polynomial means adding the opposite of that polynomial. By doing so, we will get rid of the parentheses: $$13x^3y^2 - 5x^2y - 9x^2 - 11x^3y^2 + 6x^2y + 3x^2 - 4$$ Group like terms: $$(13x^3y^2 - 11x^3y^2) + (-5x^2y + 6x^2y) + (-9x^2 + 3x^2) - 4$$ Combine like terms: $$2x^3y^2 + x^2y - 6x^2 - 4$$
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