College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.7 - Rational Expressions - R.7 Assess Your Understanding - Page 70: 11

Answer

$\dfrac{4x}{2x-1}; x \ne 0, \frac{1}{2}$

Work Step by Step

Factor the numerator and the denominator completely to obtain: $=\dfrac{6x(4x)}{6x(2x-1)}$ Cancel the common factors to obtain: $\require{cancel} \\=\dfrac{\cancel{6x}(4x)}{\cancel{6x}(2x-1)} \\=\dfrac{4x}{2x-1}; x \ne 0, \frac{1}{2}$ ($x$ cannot be $0$ and $\dfrac{1}{2}$ because they will make the original expression undefined.)
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.