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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q 8.82 (page 946)

Add: $\frac{5}{16 c} + \frac{3}{8 c d^{2}}$

Short Answer

Expert verified

The Addition of rational expressions is $\frac{5 d^{2} + 6}{16 c d^{2}}$ .

Step by step solution

01

Given information

The given rational expressions

=

\frac{5}{16 c} + \frac{3}{8 c d^{2}}

.

02

Addition of rational expression is

$16 c = 2 脳 2 脳 2 脳 2 脳 c 8 c d^{2} = 2 脳 2 脳 2 脳 c 脳 d 脳 d The LCD is 16 c d^{2} Rewrite each rational expression as an equivalent fraction with the LCD . = \frac{5 脳 d^{2}}{16 c 脳 d^{2}} + \frac{3 脳 2}{8 {cd}^{2} 脳 2} = \frac{5 d^{2}}{16 {cd}^{2}} + \frac{6}{16 {cd}^{2}} = \frac{5 d^{2} + 6}{16 {cd}^{2}}$

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In the following exercises, simplify.

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