Perform the operations and simplify the result when possible. See Example 8. 4.x 4.x + x² – 4 x² + 7x + 10 2.x 3 O (r + 5)(x – 2)(x +2) 4r(2г — 3) o (r + 5)(x – 2)(x +2) 4.x(2x + 5) O (r + 3)(x – 2)(x +2) 2.r +3 o (r + 5)(x – 2)(x + 2) 4.x(2.r + 3) O (x + 5)(x – 2)(x +2)
Perform the operations and simplify the result when possible. See Example 8. 4.x 4.x + x² – 4 x² + 7x + 10 2.x 3 O (r + 5)(x – 2)(x +2) 4r(2г — 3) o (r + 5)(x – 2)(x +2) 4.x(2x + 5) O (r + 3)(x – 2)(x +2) 2.r +3 o (r + 5)(x – 2)(x + 2) 4.x(2.r + 3) O (x + 5)(x – 2)(x +2)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
![### Simplifying Rational Expressions
#### Instructions:
Perform the operations and simplify the result when possible based on the given example.
#### Problem:
\[ \frac{4x}{x^2 + 7x + 10} + \frac{4x}{x^2 - 4} \]
#### Options:
1. \[ \frac{2x - 3}{(x + 5)(x - 2)(x + 2)} \]
2. \[ \frac{4x(2x - 3)}{(x + 5)(x - 2)(x + 2)} \] (Correct Answer)
3. \[ \frac{4x(2x + 5)}{(x + 3)(x - 2)(x + 2)} \]
4. \[ \frac{2x + 3}{(x + 5)(x - 2)(x + 2)} \]
5. \[ \frac{4x(2x + 3)}{(x + 5)(x - 2)(x + 2)} \]
The correct option is the second one, which is highlighted with a filled radio button.
By following along with the provided instructional materials or example, you can solve similar problems and verify the correctness of the derived expression.
#### Notes:
- Determine common denominators when adding or subtracting rational expressions.
- Factorize where possible to simplify the expressions.
- Review fundamental algebraic operations as necessary for a clearer understanding.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc60d0879-bf1d-4600-af9d-cdd728ad041f%2F184b67d3-d354-41af-9b18-afaf44b5bcdf%2Fej92fdh_processed.png&w=3840&q=75)
Transcribed Image Text:### Simplifying Rational Expressions
#### Instructions:
Perform the operations and simplify the result when possible based on the given example.
#### Problem:
\[ \frac{4x}{x^2 + 7x + 10} + \frac{4x}{x^2 - 4} \]
#### Options:
1. \[ \frac{2x - 3}{(x + 5)(x - 2)(x + 2)} \]
2. \[ \frac{4x(2x - 3)}{(x + 5)(x - 2)(x + 2)} \] (Correct Answer)
3. \[ \frac{4x(2x + 5)}{(x + 3)(x - 2)(x + 2)} \]
4. \[ \frac{2x + 3}{(x + 5)(x - 2)(x + 2)} \]
5. \[ \frac{4x(2x + 3)}{(x + 5)(x - 2)(x + 2)} \]
The correct option is the second one, which is highlighted with a filled radio button.
By following along with the provided instructional materials or example, you can solve similar problems and verify the correctness of the derived expression.
#### Notes:
- Determine common denominators when adding or subtracting rational expressions.
- Factorize where possible to simplify the expressions.
- Review fundamental algebraic operations as necessary for a clearer understanding.
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