Answered

Explore a diverse range of topics and get expert answers on IDNLearn.com. Our experts are ready to provide in-depth answers and practical solutions to any questions you may have.

Factor out the GCF.

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

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

Sagot :

GinnyAnsweridn
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 using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.