Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - Chapter Review - Page 717: 19



Work Step by Step

$\frac{5}{2+x}+\frac{x}{x-4}$ $=\frac{5(x-4)}{(x+2)(x-4)}+\frac{x(x+2)}{(x-4)(x+2)}$ $=\frac{5x-20}{(x+2)(x-4)}+\frac{x^2+2x}{(x-4)(x+2)}$ $=\frac{5x-20+x^2+2x}{(x+2)(x-4)}$ $=\frac{x^2+7x-20}{(x+2)(x-4)}$
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