Chapter 7: Q137E. (page 668)

In the following expression, perform the indicated operation:
$\frac{5 a}{a - 2} + \frac{9}{a} - \frac{2 a + 18}{a^{2} - 2 a}$

Short Answer

Expert verified

$\frac{5 a^{2} + 7 a - 36}{a (a - 2)}$

Step by step solution

Step 1. Given information.

The following expression is given:

$\frac{5 a}{a - 2} + \frac{9}{a} - \frac{2 a + 18}{a^{2} - 2 a}$

Step 2. Perform the indicated operation.

Factor the denominator and numerator (where applicable):

$\frac{5 a}{a - 2} + \frac{9}{a} - \frac{2 (a + 9)}{a (a - 2)}$

Find the LCD:

$a (a - 2)$

Rewrite the expression with LCD at the denominator:

role="math" localid="1644731961868" $\frac{5 a^{2}}{a (a - 2)} + \frac{9 (a - 2)}{a (a - 2)} - \frac{2 a + 18}{a (a - 2)}$

Simplify:

role="math" localid="1644732100403" $\frac{5 a^{2} + 9 a - 18 - 2 a - 18}{a (a - 2)} \frac{5 a^{2} + 7 a - 36}{a (a - 2)}$

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In the following expression, perform the indicated operation:
$\frac{5 a}{a - 2} + \frac{9}{a} - \frac{2 a + 18}{a^{2} - 2 a}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Perform the indicated operation.

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In the following expression, perform the indicated operation:5aa-2+9a-2a+18a2-2a

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Perform the indicated operation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Pure Maths

Decision Maths

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following expression, perform the indicated operation:
$\frac{5 a}{a - 2} + \frac{9}{a} - \frac{2 a + 18}{a^{2} - 2 a}$