Chapter 8: 551 - Review Exercises (page 1026)

Find the Least Common Denominator of Rational Expressions
In the following exercises, find the LCD.
$\frac{4}{m^{2} - 3 m - 10}, \frac{2 m}{m^{2} - m - 20} .$

Short Answer

Expert verified

The answer is $(m + 2) (m - 5) (m + 4) .$

Step by step solution

Step 1. Given information.

Given two denominators:

$m^{2} - m - 20$ and $m^{2} - 3 m - 10$ .

Step 2. Finding factors.

LCD is Least Common Denominator

Firstly, we will find factors of the denominators:

$m^{2} - 3 m - 10 = (m - 5) (m + 2) a n d, m^{2} - m - 20 = (m + 4) (m - 5) .$

Step 3. Calculating LCD.

We can clearly see we have 4 factors $m - 5, m + 2, m + 4 a n d m - 5 .$

Now we will multiply all the distinct factors we get to find the LCD.

So, the final LCD is: $(m + 2) (m - 5) (m + 4)$ .

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Find the Least Common Denominator of Rational Expressions
In the following exercises, find the LCD.
$\frac{4}{m^{2} - 3 m - 10}, \frac{2 m}{m^{2} - m - 20} .$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding factors.

Step 3. Calculating LCD.

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Find the Least Common Denominator of Rational ExpressionsIn the following exercises, find the LCD.4m2-3m-10,2mm2-m-20.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding factors.

Step 3. Calculating LCD.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Calculus

Probability and Statistics

Decision Maths

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the Least Common Denominator of Rational Expressions
In the following exercises, find the LCD.
$\frac{4}{m^{2} - 3 m - 10}, \frac{2 m}{m^{2} - m - 20} .$