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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 8: Q 139 (page 940)

Add $\frac{2 r^{2}}{2 r - 1} + \frac{15 r - 8}{2 r - 1}$

Short Answer

Expert verified

The required expression is $r + 8$

Step by step solution

01

Given information

The given expression is $\frac{2 r^{2}}{2 r - 1} + \frac{15 r - 8}{2 r - 1}$

02

Simplifying the expression

The two rational expressions have same denominators, combining the expressions:

$\frac{2 r^{2} + 15 r - 8}{2 r - 1}$

Factorizing the numerator:

$\frac{(2 r - 1) (r + 8)}{2 r - 1}$

Cancel the common factor:

$r + 8$

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