Chapter 8: Q. 286 (page 967)

In the following exercises, simplify.
$\frac{\frac{6}{d - 4} - \frac{2}{d + 7}}{\frac{2 d}{d^{2} + 3 d - 28}}$

Short Answer

Expert verified

The simplified expression is $\frac{2 d + 25}{d}$

Step by step solution

Step 1. Given information

The given expression is

$\frac{\frac{6}{d - 4} - \frac{2}{d + 7}}{\frac{2 d}{d^{2} + 3 d - 28}}$

Step2. Simplify the expression

$\frac{\frac{6}{d - 4} - \frac{2}{d + 7}}{\frac{2 d}{d^{2} + 3 d - 28}} = \frac{(d - 4) (d + 7) (\frac{6}{(d - 4)} - \frac{2}{(d + 7)})}{(d - 4) (d + 7) (\frac{2 d}{(d - 4) (d + 7)})} = \frac{6 (d + 7) - 2 (d - 4)}{2 d} = \frac{4 d + 50}{2 d} = \frac{2 d + 25}{d}$

The simplified expression is $\frac{2 d + 25}{d}$

Step 3. The solution

The simplified expression is $\frac{2 d + 25}{d}$

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In the following exercises, simplify.
$\frac{\frac{6}{d - 4} - \frac{2}{d + 7}}{\frac{2 d}{d^{2} + 3 d - 28}}$

Short Answer

Step by step solution

Step 1. Given information

Step2. Simplify the expression

Step 3. The solution

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In the following exercises, simplify.6d-4-2d+72dd2+3d-28

Short Answer

Step by step solution

Step 1. Given information

Step2. Simplify the expression

Step 3. The solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Applied Mathematics

Discrete Mathematics

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.
$\frac{\frac{6}{d - 4} - \frac{2}{d + 7}}{\frac{2 d}{d^{2} + 3 d - 28}}$