Question

Factor 12y+6 using the gcf

Answer 1

Therefore, the factored form of 12y + 6 using the GCF is 6(2y + 1).

Step-by-step explanation:

To factor 12y + 6 using the greatest common factor (GCF), we need to identify the largest number or term that can divide evenly into both 12y and 6.

1. First, let's find the GCF of 12y and 6.

- The prime factorization of 12 is 2 * 2 * 3.

- The prime factorization of 6 is 2 * 3.

2. Now, we need to identify the common factors of 12y and 6. The common factors are 2 and 3.

3. The GCF of 12y and 6 is the product of these common factors: GCF = 2 * 3 = 6.

4. To factor 12y + 6 using the GCF, we can rewrite the expression as:

6(2y + 1).

Answer 2

To factor the expression 12y+6 using the GCF, first find the GCF of 12 and 6, which is 6. Then, divide each term by 6 to get 2y + 1. Finally, write the expression as 6(2y + 1).

Step-by-step explanation:

The question is asking to factor the expression 12y+6 by using the greatest common factor (GCF). To do this, we first need to identify the GCF of the two terms, 12y and 6. The GCF of 12 and 6 is 6. Thus, we can factor out 6 from both terms.

Here's the step-by-step process:

1. Find the GCF of 12 and 6, which is 6.
2. Divide both terms of the expression by 6:
   12y ÷ 6 = 2y
   6 ÷ 6 = 1
3. Write the original expression as a product of the GCF and the simplified terms:
   6(2y + 1).

Therefore, the factored form of 12y+6 using the GCF is 6(2y + 1).