Answer :

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

1. Identify the greatest common factor (GCF) of the numbers 12 and 20:

- List the factors of each number.
- Factors of 12: [tex]\( 1, 2, 3, 4, 6, 12 \)[/tex]
- Factors of 20: [tex]\( 1, 2, 4, 5, 10, 20 \)[/tex]

- Find the greatest factor that both numbers share.
- Common factors of 12 and 20: [tex]\( 1, 2, 4 \)[/tex]
- The greatest common factor is [tex]\( 4 \)[/tex].

2. Rewrite each term as a product of the GCF and another number:

- Express 12 and 20 in terms of the GCF:
- [tex]\( 12 = 4 \times 3 \)[/tex]
- [tex]\( 20 = 4 \times 5 \)[/tex]

3. Apply the distributive property to factor out the GCF:

- Combine the terms using the distributive property, which states [tex]\( a \times b + a \times c = a(b + c) \)[/tex]:
- [tex]\( 12 + 20 = 4 \times 3 + 4 \times 5 \)[/tex]
- Factor out the common factor 4: [tex]\( 4(3 + 5) \)[/tex]

Therefore, the expression [tex]\( 12 + 20 \)[/tex] factored by the greatest common factor using the distributive property is:

[tex]\[ 12 + 20 = 4(3 + 5) \][/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