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Find the GCF for the list. 175a5b6c², 245a6b

Find the GCF for the list. 175a5b6c², 245a6b

Algebra and Trigonometry (6th Edition)
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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**Find the GCF for the list:** Given expressions: - \(175a^5b^6c^2\) - \(245a^6b\) **Goal:** Determine the Greatest Common Factor (GCF) of the given expressions. **The GCF is** \(\boxed{}\) This problem requires you to find the largest expression that divides both given monomials. Consider the coefficients and the variables separately to find the GCF: 1. **Coefficients:** - Find the GCF of the numerical coefficients: 175 and 245. 2. **Variables:** - For each variable present in both expressions (\(a\), \(b\)), use the lowest exponent seen in the expressions: - For \(a\), use \(a^5\). - For \(b\), use \(b^1\). - \(c\) is not present in the second term, so exclude \(c\). Combine these components to write the GCF of the expressions.
Transcribed Image Text:**Find the GCF for the list:** Given expressions: - \(175a^5b^6c^2\) - \(245a^6b\) **Goal:** Determine the Greatest Common Factor (GCF) of the given expressions. **The GCF is** \(\boxed{}\) This problem requires you to find the largest expression that divides both given monomials. Consider the coefficients and the variables separately to find the GCF: 1. **Coefficients:** - Find the GCF of the numerical coefficients: 175 and 245. 2. **Variables:** - For each variable present in both expressions (\(a\), \(b\)), use the lowest exponent seen in the expressions: - For \(a\), use \(a^5\). - For \(b\), use \(b^1\). - \(c\) is not present in the second term, so exclude \(c\). Combine these components to write the GCF of the expressions.
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GCF for 175a5b6c2 ,  245a6b

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