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 6 - Rational Expressions and Equations - Review Exercises: Chapter 6 - Page 437: 14

Answer

$$\frac{7x+3}{x-3}$$

Work Step by Step

Recall, to simplify rational expressions, we look for common factors in the numerator and the denominator. Doing this, we find: $$ \frac{14x^2-x-3}{2x^2-7x+3}\\ \frac{\left(7x+3\right)\left(2x-1\right)}{\left(2x-1\right)\left(x-3\right)}\\ \frac{7x+3}{x-3}$$
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