Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Factor out the GCF.

[tex]\[ 5x + 30y \][/tex]

[tex]\[ 5(x + 6y) \][/tex]

Sagot :

GinnyAnswer
Sure, let's factor out the Greatest Common Factor (GCF) from the expression [tex]\(5x + 30y\)[/tex].

Step-by-Step Solution:

1. Identify the GCF of the coefficients:
- The coefficients in the expression are 5 and 30.
- The greatest common factor (GCF) of 5 and 30 is 5.

2. Rewrite each term as a product of the GCF and another factor:
- For the term [tex]\(5x\)[/tex], it can be rewritten as [tex]\(5 \cdot x\)[/tex].
- For the term [tex]\(30y\)[/tex], it can be rewritten as [tex]\(5 \cdot 6y\)[/tex].

3. Factor out the GCF from each term:
- Once we have rewritten each term, we can factor out the common factor, which is 5.
- This means we will write 5 outside the parentheses and include the remaining factors inside the parentheses.

4. Combine the terms inside the parentheses:
- After factoring out 5, the remaining terms inside the parentheses would be [tex]\(x\)[/tex] and [tex]\(6y\)[/tex].

So, the factored expression is:

[tex]\[ 5(x + 6y) \][/tex]

Therefore, the final factored form of the expression [tex]\(5x + 30y\)[/tex] is [tex]\(5(x + 6y)\)[/tex].
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.