College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Summary, Review, and Test - Review Exercises - Page 91: 116



Work Step by Step

Find the least common denominator for the terms. Then make sure to multiply the numerator by the new part of each denominator. Now combine the fractions and combine like terms. Then find the greatest common factor of the numerator that can cancel out part of the denominator. $\frac{3x}{x+2}+\frac{x}{x-2}$ $\frac{3x(x-2)}{(x+2)(x-2)}+\frac{x(x+2)}{(x+2)(x-2)}$ $\frac{3x^2-6x}{(x+2)(x-2)}+\frac{x^2+2x}{(x+2)(x-2)}$ $\frac{3x^2-6x+x^2+2x}{(x+2)(x-2)}$ $\frac{4x^2-4x}{(x+2)(x-2)}$ $\frac{2x(x-2)}{(x+2)(x-2)}$ $\frac{2x}{x+2}$
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