At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
To find the greatest common factor (GCF) of the terms [tex]\(12b\)[/tex] and [tex]\(8b^3\)[/tex], we will follow these steps:
1. Identify the coefficients and variable parts:
- The coefficients are 12 and 8.
- The variable parts are [tex]\(b\)[/tex] (for [tex]\(12b\)[/tex]) and [tex]\(b^3\)[/tex] (for [tex]\(8b^3\)[/tex]).
2. Find the GCF of the coefficients:
- The greatest common factor of 12 and 8 is 4. That is because 4 is the largest number that evenly divides both 12 and 8.
3. Determine the variable part of the GCF:
- Both terms have the variable [tex]\(b\)[/tex]. The term [tex]\(12b\)[/tex] has one [tex]\(b\)[/tex], and the term [tex]\(8b^3\)[/tex] has three [tex]\(b\)[/tex]s.
- The GCF for the variable part is the lowest power of [tex]\(b\)[/tex] common to both terms. In this case, it is [tex]\(b\)[/tex] (which is [tex]\(b^1\)[/tex]).
4. Combine the GCF of the coefficients and the variable part:
- The GCF of the coefficients is 4, and the GCF of the variable part is [tex]\(b\)[/tex].
- Therefore, the GCF of [tex]\(12b\)[/tex] and [tex]\(8b^3\)[/tex] is [tex]\(4b\)[/tex].
Thus, the greatest common factor of [tex]\(12b\)[/tex] and [tex]\(8b^3\)[/tex] is [tex]\(\boxed{4b}\)[/tex].
1. Identify the coefficients and variable parts:
- The coefficients are 12 and 8.
- The variable parts are [tex]\(b\)[/tex] (for [tex]\(12b\)[/tex]) and [tex]\(b^3\)[/tex] (for [tex]\(8b^3\)[/tex]).
2. Find the GCF of the coefficients:
- The greatest common factor of 12 and 8 is 4. That is because 4 is the largest number that evenly divides both 12 and 8.
3. Determine the variable part of the GCF:
- Both terms have the variable [tex]\(b\)[/tex]. The term [tex]\(12b\)[/tex] has one [tex]\(b\)[/tex], and the term [tex]\(8b^3\)[/tex] has three [tex]\(b\)[/tex]s.
- The GCF for the variable part is the lowest power of [tex]\(b\)[/tex] common to both terms. In this case, it is [tex]\(b\)[/tex] (which is [tex]\(b^1\)[/tex]).
4. Combine the GCF of the coefficients and the variable part:
- The GCF of the coefficients is 4, and the GCF of the variable part is [tex]\(b\)[/tex].
- Therefore, the GCF of [tex]\(12b\)[/tex] and [tex]\(8b^3\)[/tex] is [tex]\(4b\)[/tex].
Thus, the greatest common factor of [tex]\(12b\)[/tex] and [tex]\(8b^3\)[/tex] is [tex]\(\boxed{4b}\)[/tex].
Answer:
hello
Step-by-step explanation:
12b=3x4b
8b³ = 4bxb²
thee gratest common factor of 12b and 8b³ is : 4b
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.
