Chapter 7: Q138E. (page 668)

In the following exercise, perform the indicated operation:
$\frac{2 b}{b - 5} + \frac{3}{2 b} - \frac{2 b - 15}{2 b^{2} - 10 b}$

Short Answer

Expert verified

$\frac{4 b + 1}{2 (b + 5)}$

Step by step solution

Step 1. Given information.

The following expression is given:

$\frac{2 b}{b - 5} + \frac{3}{2 b} - \frac{2 b - 15}{2 b^{2} - 10 b}$

Step 2. Performing the given operation.

Factorise the denominator:

$\frac{2 b}{b - 5} + \frac{3}{2 b} - \frac{2 b - 15}{2 b (b - 5)}$

Find out the LCD of the denominators:

$2 b (b - 5)$

Rewrite the expression with denominators equal to the LCD:

$\frac{2 b . 2 b}{2 b (b - 5)} + \frac{3 (b - 5)}{2 b (b - 5)} - \frac{2 b - 15}{2 b (b - 5)}$

Simplify:

$\frac{4 b^{2} + 3 b - 15 - 2 b + 15}{2 b (b - 5)} \frac{4 b^{2} + b}{2 b (b - 5)} \frac{b (4 b + 1)}{2 b (b - 5)}$

Cancel the common factors from the numerator and the denominator:

$\frac{(4 b + 1)}{2 (b - 5)}$

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In the following exercise, perform the indicated operation:
$\frac{2 b}{b - 5} + \frac{3}{2 b} - \frac{2 b - 15}{2 b^{2} - 10 b}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Performing the given operation.

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In the following exercise, perform the indicated operation:2bb-5+32b-2b-152b2-10b

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Performing the given operation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Applied Mathematics

Geometry

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercise, perform the indicated operation:
$\frac{2 b}{b - 5} + \frac{3}{2 b} - \frac{2 b - 15}{2 b^{2} - 10 b}$