538 - Review Exercises Divide Rational ExpressionsIn th... [FREE SOLUTION]

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Math
Elementary Algebra
Chapter 8
538 - Review Exercises

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: 538 - Review Exercises (page 1025)

Divide Rational Expressions
In the following exercises, divide.
$\frac{8 m^{2} - 8 m}{m - 4} . \frac{m^{2} + 2 m - 24}{m^{2} + 7 m + 10} 梅 \frac{2 m^{2} - 6 m}{m + 5} .$

Short Answer

Expert verified

The answer is $\frac{4 m^{2} - 20 m - 24}{m^{2} - m - 6} .$

Step by step solution

Step 1. Given Information.

$\frac{8 m^{2} - 8 m}{m - 4} . \frac{m^{2} + 2 m - 24}{m^{2} + 7 m + 10} 梅 \frac{2 m^{2} - 6 m}{m + 5}, = \frac{(\frac{8 m^{2} - 8 m}{m - 4}) 脳 (\frac{m^{2} + 2 m - 24}{m^{2} + 7 m + 10})}{\frac{2 m^{2} - 6 m}{m + 5}} .$

Step 2. Solving the numerator first.

$(\frac{8 m^{2} - 8 m}{m - 4}) 脳 (\frac{m^{2} + 2 m - 24}{m^{2} + 7 m + 10}) = (\frac{8 m (m - 1)}{m - 4}) 脳 (\frac{m^{2} + 2 m - 24}{m^{2} + 7 m + 10}) = (\frac{8 m (m - 1)}{m - 4}) 脳 (\frac{(m - 4) (m + 6)}{(m + 2) (m + 5)}) = \frac{8 m (m - 1) (m + 6)}{(m + 2) (m + 5)} .$

Step 3. Solving the rational expression.

$\frac{\frac{8 m (m - 1) (m + 6)}{(m + 2) (m + 5)}}{\frac{2 m (m - 3)}{(m + 5)}}, = \frac{8 m (m - 1) (m + 6) (m + 5)}{(m + 2) (m + 5) 2 m (m - 3)}, S o l v i n g a n d c a n c e l l i n g s a m e f a c t o r s, w e g e t, = \frac{4 (m - 1) (m + 6)}{(m + 2) (m - 3)} = \frac{4 m^{2} - 20 m - 24}{m^{2} - m - 6} .$

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91影视

Divide Rational Expressions
In the following exercises, divide.
$\frac{8 m^{2} - 8 m}{m - 4} . \frac{m^{2} + 2 m - 24}{m^{2} + 7 m + 10} 梅 \frac{2 m^{2} - 6 m}{m + 5} .$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solving the numerator first.

Step 3. Solving the rational expression.

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Most popular questions from this chapter

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91影视

Divide Rational ExpressionsIn the following exercises, divide.8m2-8mm-4.m2+2m-24m2+7m+10梅2m2-6mm+5.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solving the numerator first.

Step 3. Solving the rational expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Discrete Mathematics

Logic and Functions

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Divide Rational Expressions
In the following exercises, divide.
$\frac{8 m^{2} - 8 m}{m - 4} . \frac{m^{2} + 2 m - 24}{m^{2} + 7 m + 10} 梅 \frac{2 m^{2} - 6 m}{m + 5} .$