Chapter 11: Q. 190 (page 1069)

In the following exercises, simplify each complex rational expression using either method.
$\frac{\frac{3}{b^{2} - 3 b - 40}}{\frac{5}{b + 5} - \frac{2}{b - 8}}$

Short Answer

Expert verified

The simplified form is $\frac{3}{3 b - 50}$

Step by step solution

Step 1. Given.

The given complex rational expression is: $\frac{\frac{3}{b^{2} - 3 b - 40}}{\frac{5}{b + 5} - \frac{2}{b - 8}}$ .

Step 2. To find

We have to simplify each complex rational expression by using either method.

Step 3. Calculation

LCM of the denominators is = $(b + 5) (b - 8)$ . Multiply numerator and denominator by it to simplify.

$\frac{\frac{3}{b^{2} - 3 b - 40}}{\frac{5}{b + 5} - \frac{2}{b - 8}} = \frac{\frac{3}{b^{2} - 3 b - 40} (b + 5) (b - 8)}{\frac{5}{b + 5} (b + 5) (b - 8) - \frac{2}{b - 8} (b + 5) (b - 8)} = \frac{3}{5 (b - 8) - 2 (b + 5)} = \frac{3}{5 b - 40 - 2 b - 10} = \frac{3}{3 b - 50}$

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In the following exercises, simplify each complex rational expression using either method.
$\frac{\frac{3}{b^{2} - 3 b - 40}}{\frac{5}{b + 5} - \frac{2}{b - 8}}$

Short Answer

Step by step solution

Step 1. Given.

Step 2. To find

Step 3. Calculation

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In the following exercises, simplify each complex rational expression using either method.3b2-3b-405b+5-2b-8

Short Answer

Step by step solution

Step 1. Given.

Step 2. To find

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Logic and Functions

Decision Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each complex rational expression using either method.
$\frac{\frac{3}{b^{2} - 3 b - 40}}{\frac{5}{b + 5} - \frac{2}{b - 8}}$