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 10 - Exponents and Radicals - 10.4 Dividing Radical Expressions - 10.4 Exercise Set - Page 654: 80

Answer

$$9x^3-x^2+9x$$

Work Step by Step

In order to solve this problem, it is necessary to combine 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: $$ 9x^3-3x-\frac{1}{2}-x^2+12x+\frac{1}{2}\\ 9x^3-3x-\frac{1}{2}-x^2+12x+\frac{1}{2}\\ 9x^3-x^2+9x$$
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