Question

Factor 48y+36z using the GCF.(1 point)

Responses

12(4y+3z)
12 left parenthesis 4 y plus 3 z right parenthesis

6(8y+6z)
6 left parenthesis 8 y plus 6 z right parenthesis

16(3y+2z)
16 left parenthesis 3 y plus 2 z right parenthesis

4(12y+9z

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

To factor 48y + 36z using the greatest common factor (GCF), we first need to find the largest number that can divide both 48 and 36 without leaving a remainder.

The prime factorization of 48 is 2^4 * 3. (That is, 2 x 2 x 2 x 2 x 3 = 48)
The prime factorization of 36 is 2^2 * 3^2. (That is, 2 x 2 x 3 x 3 = 36)

The common factors from the prime factorizations are two 2's and one 3, so we multiply these together to find the GCF:

2 x 2 x 3 = 4 x 3 = 12.

Now we can use the GCF to factor the original expression:

48y + 36z = 12(4y) + 12(3z) = 12(4y + 3z).

Therefore, the factored form of 48y + 36z using the GCF is:

12(4y + 3z).

The correct answer is:

12(4y+3z) or 12 left parenthesis 4 y plus 3 z right parenthesis.