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: 6

Answer

$\dfrac{-5x+40}{x^2+2x-8}$

Work Step by Step

The expressions are not similar. Make them similar by using the LCD, which is $(x-2)(x+4)$, to have: $\\=\frac{5(x+4)}{(x-2)(x+4)} -\frac{10(x-2)}{(x+4)(x-2)} \\=\frac{5x+20}{(x-2)(x+4)}-\frac{10x-20}{(x-2)(x+4)} \\=\frac{5x+20-10x-(-20)}{(x-2)(x+4)} \\=\frac{-5x+40}{(x-2)(x+4)} \\=\frac{-5x+40}{x^2+2x-8}$
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