Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - 6.2 Exercises - Page 383: 72

Answer

$\frac{(5x +2 )}{(x-3)}$

Work Step by Step

$\frac{5x}{x-3} + \frac{2}{x} + \frac{6}{x^2 - 3x}$ $=\frac{5x}{x-3} + \frac{2}{x} + \frac{6}{x(x - 3)}$ $=\frac{5x\times x + 2\times (x-3) + 6}{x(x-3)}$ $=\frac{5x^2 +2 x}{x(x-3)}$ $=\frac{x(5x +2 )}{x(x-3)}$ $=\frac{(5x +2 )}{(x-3)}$
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