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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Question
![**Factoring Out the Greatest Common Factor**
**Task:**
Factor out the greatest common factor from the following expression:
\[ 5a(a - 7) + 9(a - 7) \]
**Solution:**
To factor the expression, notice that the term \((a - 7)\) is common in both parts of the expression.
The expression can be rewritten and factored as:
\[ 5a(a - 7) + 9(a - 7) = (5a + 9)(a - 7) \]
**Your Answer:**
\[(5a + 9)(a - 7) \]
(Type your answer in factored form.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F841a23ff-64ca-4d99-a92f-2adfa7b3fe4f%2F3bcaa4aa-9c89-43f3-9438-b6a57ad73871%2Fprzc1oi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Factoring Out the Greatest Common Factor**
**Task:**
Factor out the greatest common factor from the following expression:
\[ 5a(a - 7) + 9(a - 7) \]
**Solution:**
To factor the expression, notice that the term \((a - 7)\) is common in both parts of the expression.
The expression can be rewritten and factored as:
\[ 5a(a - 7) + 9(a - 7) = (5a + 9)(a - 7) \]
**Your Answer:**
\[(5a + 9)(a - 7) \]
(Type your answer in factored form.)
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