Answer :

To apply the distributive property and factor out the greatest common factor from the expression [tex]\(12 + 20\)[/tex], follow these steps:

1. Find the Greatest Common Factor (GCF):
- List the factors of each number:
- Factors of 12 are: 1, 2, 3, 4, 6, 12
- Factors of 20 are: 1, 2, 4, 5, 10, 20
- Identify the common factors: 1, 2, and 4.
- The greatest common factor is 4.

2. Factor out the GCF from the expression:
- Rewrite each term as a product of the GCF and another factor:
- 12 can be written as [tex]\(4 \times 3\)[/tex]
- 20 can be written as [tex]\(4 \times 5\)[/tex]
- Factor out the GCF (4) from the expression:
[tex]\[
12 + 20 = 4 \times 3 + 4 \times 5
\][/tex]
- Using the distributive property ([tex]\(a(b + c) = ab + ac\)[/tex]), factor out 4:
[tex]\[
12 + 20 = 4 \times (3 + 5)
\][/tex]

3. Simplify the expression inside the parentheses:
- Add the numbers inside the parentheses:
[tex]\[
3 + 5 = 8
\][/tex]
- So, the factored form of the expression is:
[tex]\[
4 \times 8
\][/tex]

Thus, after applying the distributive property and factoring out the greatest common factor, the expression [tex]\(12 + 20\)[/tex] is rewritten as [tex]\(4 \times (3 + 5)\)[/tex] or [tex]\(4 \times 8\)[/tex].

Thanks for taking the time to read Apply the distributive property to factor out the greatest common factor 12 20 square. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada