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 - Test - Page 416: 13

Answer

$$2x^2y^3 + 3xy + 12y^2$$

Work Step by Step

When you subtract a polynomial, you add the opposite of that polynomial. We can now rewrite the problem without parentheses: $$8x^2y^3 - xy + 2y^2 - 6x^2y^3 + 4xy + 10y^2$$ Group like terms: $$(8x^2y^3 - 6x^2y^3) + (-xy + 4xy) + (2y^2 + 10y^2)$$ Combine like terms: $$2x^2y^3 + 3xy + 12y^2$$
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