Algebra 2 (1st Edition)

Published by McDougal Littell

Chapter 8 Rational Functions - 8.5 Add and Subtract Rational Expressions - 8.5 Exercises - Skill Practice - Page 587: 34

Answer

$$-\frac{3}{4x}$$

Work Step by Step

Multiplying the $2x-5$ to the numerator, we find: $$\frac{\left(\frac{1}{2x-5}-\frac{7}{8x-20}\right)\left(2x-5\right)}{x} \\ \frac{\left(-\frac{3}{4\left(2x-5\right)}\right)\left(2x-5\right)}{x} \\ -\frac{\frac{3}{4}}{x}\\ -\frac{3}{4x}$$

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