Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Sections 6.1-6.5 - Integrated Review - Expressions and Equations Containing Rational Expressions - Page 379: 5

Answer

$\dfrac{2x-8}{x^2+x-2}$

Work Step by Step

The expressions are not similar. Make them similar by using the LCD, which is $(x+8)(x-1)$, to have: $\\=\frac{4(x-1)}{(x+2)(x-1)} -\frac{2(x+2)}{(x-1)(x+2)} \\=\frac{4x-4}{(x+2)(x-1)}-\frac{2x+4}{(x+2)(x-1)} \\=\frac{4x-4-2x-4}{(x+2)(x-1)} \\=\frac{2x-8}{(x+2)(x-1)} \\=\frac{2x-8}{x^2+x-2}$
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