Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 11: Q22. (page 731)

Find each sum or difference.
$\frac{5}{x^{2} 鈭� 2 x 鈭� 24} + \frac{x}{x 鈭� 6}$

Short Answer

Expert verified

$\frac{x^{2} + 4 x + 5}{(x + 4) (x 鈭� 6)}$

Step by step solution

Step 1. Find LCD.

As $x^{2} 鈭� 2 x 鈭� 24 = (x + 4) (x 鈭� 6)$ the LCD $(x + 4) (x 鈭� 6)$

Step 2. Factor.

Factor $x^{2} 鈭� 2 x 鈭� 24$ .

$\frac{5}{x^{2} 鈭� 2 x 鈭� 24} + \frac{x}{x 鈭� 6} = \frac{5}{(x + 4) (x 鈭� 6)} + \frac{x}{x 鈭� 6}$

Step 3. Write using LCD.

Write $\frac{x}{x 鈭� 6}$ using LCD.

$\frac{5}{(x + 4) (x 鈭� 6)} + \frac{x (x + 4)}{(x 鈭� 6) (x + 4)}$

Step 4. Simplify.

Simplify the above-obtained expression.

$\frac{5 + x (x + 4)}{(x + 4) (x 鈭� 6)} = \frac{x^{2} + 4 x + 5}{(x + 4) (x 鈭� 6)}$

Therefore, the sum of the given expression is $\frac{x^{2} + 4 x + 5}{(x + 4) (x 鈭� 6)}$ .

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91影视

Find each sum or difference.
$\frac{5}{x^{2} 鈭� 2 x 鈭� 24} + \frac{x}{x 鈭� 6}$

Short Answer

Step by step solution

Step 1. Find LCD.

Step 2. Factor.

Step 3. Write using LCD.

Step 4. Simplify.

One App. One Place for Learning.

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91影视

Find each sum or difference.5x2鈭�2x鈭�24+xx鈭�6

Short Answer

Step by step solution

Step 1. Find LCD.

Step 2. Factor.

Step 3. Write using LCD.

Step 4. Simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Probability and Statistics

Statistics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find each sum or difference.
$\frac{5}{x^{2} 鈭� 2 x 鈭� 24} + \frac{x}{x 鈭� 6}$