Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1-8 - Cumulative Review: 69

Answer

$= \frac{2x^{2}-9x +12}{(x-6)(x+4)}$

Work Step by Step

$\frac{2x}{x+4} + \frac{3}{x-6}$ $= \frac{2x(x-6)}{(x+4)(x-6)} + \frac{3(x+4)}{(x+4)(x-6)}$ $= \frac{2x(x-6) + 3(x+4)}{(x-6)(x+4)}$ $= \frac{2x^{2}-12x + 3x+12}{(x-6)(x+4)}$ $= \frac{2x^{2}-9x +12}{(x-6)(x+4)}$
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