Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set - Page 427: 30

Answer

$\displaystyle \frac{7+8x}{2x^{2}}$

Work Step by Step

1. Find the LCD . 1st denominator = $2\times x\times x$ 2nd denominator = $x$ LCD = $2x^{2}$ 2. Rewrite each rational expression with the the LCDas the denominator $\displaystyle \frac{7}{2x^{2}}+\frac{4}{x}\cdot\frac{2x}{2x}= \displaystyle \frac{7}{2x^{2}}+\frac{8x}{2x^{2}}$ 3. Add or subtract numerators, placing the resulting expression over the LCD. $= \displaystyle \frac{7+8x}{2x^{2}}$ 4. If possible, simplify. ... nothing to simplify
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