Factor 48y+36z using the GCF.(1 point)
Responses
4(12y+9z)
4 left parenthesis 12 y plus 9 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
12(4y+3z)
The correct factorization using the GCF is: 12(4y+3z)
To factor 48y+36z using the greatest common factor (GCF), we need to find the highest common factor of 48 and 36, which is 12.
So, the factored form of 48y+36z using the GCF is 12(4y+3z).
To factor 48y+36z using the greatest common factor (GCF), follow these steps:
Step 1: Find the GCF of the coefficients 48 and 36. The GCF of 48 and 36 is 12.
Step 2: Divide each term in the expression by the GCF. Divide 48y by 12 to get 4y, and divide 36z by 12 to get 3z.
Step 3: Write down the GCF outside of parentheses. In this case, it is 12.
Step 4: Write the simplified terms inside the parentheses. After dividing each term by 12, you have 4y and 3z.
Putting it all together, the factored form of 48y+36z using the GCF is 12(4y+3z).