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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 8.84 (page 946)

Add: $\frac{4}{m + 3} + \frac{3}{m + 4}$ .

Short Answer

Expert verified

The addition of rational expression is $\frac{7 m + 25}{(m + 3) (m + 4)}$

Step by step solution

01

Given information

The given rational expression is $\frac{4}{m + 3} + \frac{3}{m + 4}$ .

02

Simplification of the rational expression

The LCD of $(m + 4) (m + 3)$ .

Change into equivalent rational expressions with LCD $(m + 4) (m + 3)$ .

$= \frac{4 脳 (m + 4)}{(m + 4) (m + 3)} + \frac{3 脳 (m + 3)}{(m + 3) (m + 4)} = \frac{4 m + 16}{(m + 4) (m + 3)} + \frac{3 m + 9}{(m + 4) (m + 3)} = \frac{4 m + 3 m + 16 + 9}{(m + 4) (m + 3)} = \frac{7 m + 25}{(m + 4) (m + 3)}$

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