Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1-4 - Cumulative Review - Page 301: 25



Work Step by Step

We simplify the expression by combining like terms. Like terms must (1) be raised to the same power and (2) consist of the same variable (i.e. x and y are not like terms). It is also important to note that numbers are all like terms with each other when not multiplied by anything. Thus, combining like terms, we obtain: $$ 2u^2v-uv^2+uv+3u^2-v^2u+5uv^2 \\ 2u^2v+3u^2-uv^2-uv^2+5uv^2+uv \\ 2u^2v+3u^2+3uv^2+uv$$
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