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Answer :
Final answer:
We can use the distributive property to factor out the greatest common factor of 12 and 20, which is 4.
Explanation:
To factor out the greatest common factor of 12 and 20 using the distributive property, we need to identify the factors that both 12 and 20 have in common. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 20 are 1, 2, 4, 5, 10, and 20. The greatest common factor (GCF) of 12 and 20 is 4, since 4 is the largest number that divides both 12 and 20.
Using the distributive property, we can rewrite 12+20 as (4*3)+(4*5). Now, we can factor out the GCF of 4, giving us 4*(3+5). Simplifying further, we get 4*8, which equals 32.
Therefore, the result of applying the distributive property to factor out the greatest common factor of 12 and 20 is 32.
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To factor out the greatest common factor of 12 and 20 using the distributive property, we find that the GCF is 4. Thus, the expression can be written as 4(3 + 5). The factored form of 12 + 20 is 4(3 + 5).
To factor out the greatest common factor (GCF) using the distributive property, we first need to determine the GCF of the numbers in the expression. Here, the expression is 12 + 20.
We can start by finding the GCF of 12 and 20:
- List the factors of 12: 1, 2, 3, 4, 6, 12
- List the factors of 20: 1, 2, 4, 5, 10, 20
- The greatest common factor is 4.
Next, we apply the distributive property by factoring out the GCF (4):
12 + 20 = 4(3) + 4(5)
We can then use the distributive property to simplify this to:
4(3 + 5) = 4 * 8 = 32
So, the factored form of 12 + 20 using the GCF is 4(3 + 5).
