Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.6 Rational Expressions - A.6 Assess Your Understanding - Page A53: 17


$ \frac{3}{5x(x-2)}$

Work Step by Step

By factoring both the denominator and numerator of each rational function and cancelling the common factors, we have $$ \frac{3x+6}{5x^2}\cdot \frac{x}{x^2-4} = \frac{3(x+2)}{5x^2}\cdot \frac{x}{(x+2)(x-2)} \\ = \frac{3}{5x(x-2)} .$$
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