Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - 6.2 Exercises: 53

Answer

$\frac{1}{x(x-1)}$

Work Step by Step

$\frac{1}{x-1}-\frac{1}{x}=\frac{1\times x}{(x-1)\times x}-\frac{1\times(x-1)}{x\times(x-1)}=\frac{x}{x(x-1)}-\frac{x-1}{x(x-1)}=\frac{x-(x-1)}{x(x-1)}=\frac{x-x+1}{x(x-1)}=\frac{1}{x(x-1)}$
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