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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![## Multiplication Example: Polynomial Expression
### Problem Statement:
Multiply the given polynomial by applying the distributive property.
\[ 9s^2 (s^2 - 4s) \]
### Detailed Explanation:
To solve this, we need to distribute the term outside the parentheses (the monomial) to each term inside the parentheses. Here's a step-by-step breakdown:
1. **Multiply the monomials:**
- Multiply \(9s^2\) with \(s^2\).
- Multiply \(9s^2\) with \(-4s\).
2. **Perform the multiplications:**
- \( 9s^2 \cdot s^2 = 9s^{2+2} = 9s^4 \)
- \( 9s^2 \cdot (-4s) = -36s^{2+1} = -36s^3 \)
3. **Combine the results:**
- The result after distributing is:
\[ 9s^4 - 36s^3 \]
### Graphical Representation:
[No additional graphs or diagrams provided in this image.]
By following these steps, you can multiply any similar polynomial expressions using the distributive property.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfa510ce-a779-4198-b3d3-c9e941c192c9%2Fded21fc2-acd7-4b39-b36b-359f3cbf44df%2Fz9lldl_processed.png&w=3840&q=75)
Transcribed Image Text:## Multiplication Example: Polynomial Expression
### Problem Statement:
Multiply the given polynomial by applying the distributive property.
\[ 9s^2 (s^2 - 4s) \]
### Detailed Explanation:
To solve this, we need to distribute the term outside the parentheses (the monomial) to each term inside the parentheses. Here's a step-by-step breakdown:
1. **Multiply the monomials:**
- Multiply \(9s^2\) with \(s^2\).
- Multiply \(9s^2\) with \(-4s\).
2. **Perform the multiplications:**
- \( 9s^2 \cdot s^2 = 9s^{2+2} = 9s^4 \)
- \( 9s^2 \cdot (-4s) = -36s^{2+1} = -36s^3 \)
3. **Combine the results:**
- The result after distributing is:
\[ 9s^4 - 36s^3 \]
### Graphical Representation:
[No additional graphs or diagrams provided in this image.]
By following these steps, you can multiply any similar polynomial expressions using the distributive property.
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