Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.3: Polynomial Equations
Problem 5CQ
Related questions
Topic Video
Question
I need help solving this expression
![### Rational Expressions
#### Multiplying Rational Expressions Involving Multivariate Quadratics
**Problem:**
Multiply.
\[
\frac{x^2 - 8xy + 12y^2}{x^2 - 100y^2} \cdot \frac{x + 10y}{5x - 10y}
\]
**Instructions:**
Simplify your answer as much as possible.
---
**Diagram Explanation:**
Below the problem statement, there's a rectangular input box where learners can enter their answer. Next to the input box, there are three buttons:
1. A button with two squares and a line between them, suggesting it may open a tool or palette for entering fractions or expressions.
2. A circular arrow, commonly used as an undo button.
3. A question mark, likely to provide help or hints.
These tools are meant to assist in constructing and simplifying rational expressions.
---
For educators:
- Emphasize the importance of factoring both the numerators and denominators before simplifying the expression.
- Ensure students understand how to cancel out common factors to simplify the resulting rational expression.
---
This problem helps students practice multiplying and simplifying multivariate quadratic rational expressions, reinforcing their understanding of algebraic manipulation and factorization.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3ab2835-e63c-462d-897e-c9721400fd30%2F705bfe51-3352-48d9-ac0e-95b8ec45ea07%2Fich6e9d.png&w=3840&q=75)
Transcribed Image Text:### Rational Expressions
#### Multiplying Rational Expressions Involving Multivariate Quadratics
**Problem:**
Multiply.
\[
\frac{x^2 - 8xy + 12y^2}{x^2 - 100y^2} \cdot \frac{x + 10y}{5x - 10y}
\]
**Instructions:**
Simplify your answer as much as possible.
---
**Diagram Explanation:**
Below the problem statement, there's a rectangular input box where learners can enter their answer. Next to the input box, there are three buttons:
1. A button with two squares and a line between them, suggesting it may open a tool or palette for entering fractions or expressions.
2. A circular arrow, commonly used as an undo button.
3. A question mark, likely to provide help or hints.
These tools are meant to assist in constructing and simplifying rational expressions.
---
For educators:
- Emphasize the importance of factoring both the numerators and denominators before simplifying the expression.
- Ensure students understand how to cancel out common factors to simplify the resulting rational expression.
---
This problem helps students practice multiplying and simplifying multivariate quadratic rational expressions, reinforcing their understanding of algebraic manipulation and factorization.
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