Chapter 7: Q. 81 (page 667)

In the following exercises, add.
$\frac{2 w^{2}}{w^{2} - 16} + \frac{8 w}{w^{2} - 16}$

Short Answer

Expert verified

The simplified expression is $\frac{2 w}{w - 4}$ .

Step by step solution

Step 1. Given Information

The given expression is $\frac{2 w^{2}}{w^{2} - 16} + \frac{8 w}{w^{2} - 16}$ .

Step 2. Add the numerator

As the denominator is the same for both the terms, add the numerator and place it over the common denominator.

$\frac{2 w^{2} + 8 w}{w^{2} - 16}$

Step 3. Factor the expression

Factor the expression in the numerator and denominator, and then cancel out the common terms from the numerator and denominator.

$\frac{2 w (w + 4)}{(w - 4) (w + 4)} = \frac{2 w}{w - 4}$

So, the resultant expression is $\frac{2 w}{w - 4}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, add.
$\frac{2 w^{2}}{w^{2} - 16} + \frac{8 w}{w^{2} - 16}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Add the numerator

Step 3. Factor the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Pure Maths

Geometry

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, add. 2w2w2-16+8ww2-16

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Add the numerator

Step 3. Factor the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Pure Maths

Geometry

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, add.
$\frac{2 w^{2}}{w^{2} - 16} + \frac{8 w}{w^{2} - 16}$