When asked to factor ax - by + ay - bx, a student wrote the expression as ax + ay - bx - by. Then she factored it by grouping. Can the terms be rearranged in this manner? Explain your answer. O Yes. The terms can be arranged in any order as long as the variables are grouped together. O Yes. The terms can be arranged in any order as long as the signs do not change. O No. The x terms should be grouped together and the y terms should be grouped together. O No. There is no common factor for all four terms. O No. Terms with negative coefficients should be listed before terms with positive coefficients.
When asked to factor ax - by + ay - bx, a student wrote the expression as ax + ay - bx - by. Then she factored it by grouping. Can the terms be rearranged in this manner? Explain your answer. O Yes. The terms can be arranged in any order as long as the variables are grouped together. O Yes. The terms can be arranged in any order as long as the signs do not change. O No. The x terms should be grouped together and the y terms should be grouped together. O No. There is no common factor for all four terms. O No. Terms with negative coefficients should be listed before terms with positive coefficients.
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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![### Factoring Expressions by Grouping
#### Problem Statement:
When asked to factor \( ax - by + ay - bx \), a student wrote the expression as \( ax + ay - bx - by \). Then she factored it by grouping. Can the terms be rearranged in this manner? Explain your answer.
#### Options:
1. **Yes. The terms can be arranged in any order as long as the variables are grouped together.**
2. **Yes. The terms can be arranged in any order as long as the signs do not change.**
3. **No. The \( x \) terms should be grouped together and the \( y \) terms should be grouped together.**
4. **No. There is no common factor for all four terms.**
5. **No. Terms with negative coefficients should be listed before terms with positive coefficients.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a233757-ff48-478f-9071-7d7d23b994ff%2F9d39bfef-31bb-4e31-a888-bf50c127fd6a%2Fytn9a5g_processed.png&w=3840&q=75)
Transcribed Image Text:### Factoring Expressions by Grouping
#### Problem Statement:
When asked to factor \( ax - by + ay - bx \), a student wrote the expression as \( ax + ay - bx - by \). Then she factored it by grouping. Can the terms be rearranged in this manner? Explain your answer.
#### Options:
1. **Yes. The terms can be arranged in any order as long as the variables are grouped together.**
2. **Yes. The terms can be arranged in any order as long as the signs do not change.**
3. **No. The \( x \) terms should be grouped together and the \( y \) terms should be grouped together.**
4. **No. There is no common factor for all four terms.**
5. **No. Terms with negative coefficients should be listed before terms with positive coefficients.**
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