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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Multiply rational expressions. (Please explain)
![This image contains a mathematical expression and a multiple-choice question related to algebraic fractions.
### Expression to Simplify:
The expression to be simplified is:
\[
\frac{2}{x^2 + 5x + 6} \cdot \frac{x^2 - 4}{x}
\]
### Answer Choices:
The multiple-choice options for the simplified expression are:
1. \(\frac{x^2 + 3x}{2x + 4}\)
2. \(\frac{2x + 4}{x^2 + 3x}\)
3. \(\frac{x^2 - 3x}{2x - 4}\)
4. \(\frac{2x - 4}{x^2 + 3x}\)
Each option presents a simplified fraction formed by considering different transformations of the initial expression. The task is to simplify the original expression and identify which of the given options matches the simplified form.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4fcc531-835e-4e1d-887e-db82b4f310e3%2F5d306a6a-5c16-40c4-8b94-bd1e19528856%2Fbtckv1_processed.png&w=3840&q=75)
Transcribed Image Text:This image contains a mathematical expression and a multiple-choice question related to algebraic fractions.
### Expression to Simplify:
The expression to be simplified is:
\[
\frac{2}{x^2 + 5x + 6} \cdot \frac{x^2 - 4}{x}
\]
### Answer Choices:
The multiple-choice options for the simplified expression are:
1. \(\frac{x^2 + 3x}{2x + 4}\)
2. \(\frac{2x + 4}{x^2 + 3x}\)
3. \(\frac{x^2 - 3x}{2x - 4}\)
4. \(\frac{2x - 4}{x^2 + 3x}\)
Each option presents a simplified fraction formed by considering different transformations of the initial expression. The task is to simplify the original expression and identify which of the given options matches the simplified form.
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