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,...
Related questions
Question
Hello, I'm not sure how I should multiply this.
![The image contains a mathematical expression involving two fractions multiplied together:
\[ \frac{x^2 + 2x}{7} \cdot \frac{10}{2x + 4} \]
### Explanation:
- The first fraction is \(\frac{x^2 + 2x}{7}\). The numerator is a quadratic expression \(x^2 + 2x\), and the denominator is 7.
- The multiplication dot in the middle signifies that these two fractions should be multiplied.
- The second fraction is \(\frac{10}{2x + 4}\). The numerator is 10, and the denominator is a linear expression \(2x + 4\).
To multiply these fractions, you would multiply the numerators and the denominators:
Numerators: \((x^2 + 2x) \times 10\)
Denominators: \(7 \times (2x + 4)\)
This results in:
\[ \frac{10(x^2 + 2x)}{7(2x + 4)} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff986b960-81ac-4580-b815-5e1a1dd6ef71%2F54fb878c-33dd-471d-b842-f2f98db9cb52%2Fc7b8uwa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a mathematical expression involving two fractions multiplied together:
\[ \frac{x^2 + 2x}{7} \cdot \frac{10}{2x + 4} \]
### Explanation:
- The first fraction is \(\frac{x^2 + 2x}{7}\). The numerator is a quadratic expression \(x^2 + 2x\), and the denominator is 7.
- The multiplication dot in the middle signifies that these two fractions should be multiplied.
- The second fraction is \(\frac{10}{2x + 4}\). The numerator is 10, and the denominator is a linear expression \(2x + 4\).
To multiply these fractions, you would multiply the numerators and the denominators:
Numerators: \((x^2 + 2x) \times 10\)
Denominators: \(7 \times (2x + 4)\)
This results in:
\[ \frac{10(x^2 + 2x)}{7(2x + 4)} \]
Expert Solution
Step 1
Step by step
Solved in 2 steps
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education