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
![**Factor by Grouping Activity**
Expression to factor:
\[ 48az - 30a - 56bz + 35b \]
Instructions:
- Use the method of factoring by grouping to simplify the expression.
- Type your answer in factored form in the space provided.
\[
48az - 30a - 56bz + 35b = \_\_
\]
To factor by grouping, follow these steps:
1. Group the terms: \((48az - 30a) + (-56bz + 35b)\)
2. Factor out the greatest common factor from each group:
- From \(48az - 30a\), factor out \(6a\).
- From \(-56bz + 35b\), factor out \(-7b\).
3. Write the expression in its factored form.
(Ensure to check your work by expanding the factored form to confirm it matches the original expression.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F841a23ff-64ca-4d99-a92f-2adfa7b3fe4f%2F82106406-0c3d-4e3e-8cfd-a2a5996c5e82%2F10lc3go_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Factor by Grouping Activity**
Expression to factor:
\[ 48az - 30a - 56bz + 35b \]
Instructions:
- Use the method of factoring by grouping to simplify the expression.
- Type your answer in factored form in the space provided.
\[
48az - 30a - 56bz + 35b = \_\_
\]
To factor by grouping, follow these steps:
1. Group the terms: \((48az - 30a) + (-56bz + 35b)\)
2. Factor out the greatest common factor from each group:
- From \(48az - 30a\), factor out \(6a\).
- From \(-56bz + 35b\), factor out \(-7b\).
3. Write the expression in its factored form.
(Ensure to check your work by expanding the factored form to confirm it matches the original expression.)
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