Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.4 - Adding and Subtracting Rational Expressions with Different Denominators - Practice - Page 514: 7

Answer

$\frac{x(7x-10)}{(x+2)^2(x-2)}$

Work Step by Step

$\frac{6x}{x^2+4x+4}+\frac{x}{x^2-4}$ $\frac{6x}{(x+2)(x+2)}+\frac{x}{(x+2)(x-2)}$ $\frac{6x(x-2)}{(x+2)(x+2)(x-2)}+\frac{x(x+2)}{(x+2)(x-2)(x+2)}$ $\frac{6x(x-2)+x(x+2)}{(x+2)(x+2)(x-2)}$ $\frac{6x^2-12x+x^2+2x}{(x+2)(x+2)(x-2)}$ $\frac{7x^2-10x}{(x+2)(x+2)(x-2)}$ $\frac{x(7x-10)}{(x+2)^2(x-2)}$
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