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
8 what is the community property of multiplication
![### Transcription for Educational Website
---
#### 8. Commutative Property of
\[
(a + b)(c + 5)
\]
---
### Explanation
The commutative property in mathematics refers to the property of certain operations that the order of the numbers does not change the result. For addition and multiplication, this property holds true.
1. **Addition Commutative Property:**
\[
a + b = b + a
\]
2. **Multiplication Commutative Property:**
\[
a \times b = b \times a
\]
However, in the given expression \((a + b)(c + 5)\), the commutative property when applied to multiplication of binomials can be illustrated as:
\[
(a + b)(c + 5) = (c + 5)(a + b)
\]
It's important to note that the commutative property doesn't directly change the expression when dealing with addition inside each parenthesis, but it changes the order of the multiplied binomials.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66c7b497-dac7-4855-b923-2e60bbc73063%2F2190e8d8-6250-4b55-93e0-49ed66b51a34%2Fjlxrpo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Transcription for Educational Website
---
#### 8. Commutative Property of
\[
(a + b)(c + 5)
\]
---
### Explanation
The commutative property in mathematics refers to the property of certain operations that the order of the numbers does not change the result. For addition and multiplication, this property holds true.
1. **Addition Commutative Property:**
\[
a + b = b + a
\]
2. **Multiplication Commutative Property:**
\[
a \times b = b \times a
\]
However, in the given expression \((a + b)(c + 5)\), the commutative property when applied to multiplication of binomials can be illustrated as:
\[
(a + b)(c + 5) = (c + 5)(a + b)
\]
It's important to note that the commutative property doesn't directly change the expression when dealing with addition inside each parenthesis, but it changes the order of the multiplied binomials.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
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