Chapter 7: Q. 44 (page 652)

In the following exercises, divide the rational expressions.
$\frac{10 + w}{w - 8} \div \frac{100 - w^{2}}{8 - w}$

Short Answer

Expert verified

The solution is $\frac{- 1}{10 - w} .$

Step by step solution

Step 1. Given InformationFlip the second rational expression

We have

\frac{10 + w}{w - 8} \div \frac{100 - w^{2}}{8 - w} = \frac{10 + w}{w - 8} \times \frac{8 - w}{100 - w^{2}}

Step 2. Factor the numerators and denominators

$\frac{10 + w}{w - 8} \times \frac{8 - w}{(10 - w) (10 + w)} = \frac{- (10 + w) (w - 8)}{(w - 8) (10 - w) (10 + w)}$

Step 3. Remove the common factor and simplify

$= \frac{- 1}{10 - w}$

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In the following exercises, divide the rational expressions.
$\frac{10 + w}{w - 8} \div \frac{100 - w^{2}}{8 - w}$

Short Answer

Step by step solution

Step 1. Given InformationFlip the second rational expression

Step 2. Factor the numerators and denominators

Step 3. Remove the common factor and simplify

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In the following exercises, divide the rational expressions.10+ww-8÷100-w28-w

Short Answer

Step by step solution

Step 1. Given InformationFlip the second rational expression

Step 2. Factor the numerators and denominators

Step 3. Remove the common factor and simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, divide the rational expressions.
$\frac{10 + w}{w - 8} \div \frac{100 - w^{2}}{8 - w}$