Question Factor 48y+36z using the GCF.(1 point) Responses 6(8y+6z) 6 left parenthesis 8 y plus 6 z right parenthesis 4(12y+9z) 4 left parenthesis 12 y plus 9 z right parenthesis 12(4y+3z) 12 left parenthesis 4 y plus 3 z right parenthesis 16(3y+2z) 16 left parenthesis 3 y plus 2 z right parenthesis
The correct answer is 12(4y+3z).
To factor out the greatest common factor (GCF) from the expression 48y+36z, we need to find the largest number that divides evenly into both 48 and 36.
The GCF of 48 and 36 is 12.
Now we divide each term by 12 and rewrite the expression:
48y/12 + 36z/12
The result is:
4y + 3z
So, the correct answer is 4(12y+9z) or 4(12 y plus 9 z), as option 4 suggests.
To factor 48y + 36z using the greatest common factor (GCF), we need to find the largest common factor of the coefficients, which in this case is 12.
Next, we divide each term by the GCF (12) and rewrite the expression.
So, 48y divided by 12 is 4y, and 36z divided by 12 is 3z.
Finally, we put the GCF outside the parenthesis and write the simplified expression inside the parenthesis.
Therefore, the correct factored form is 12(4y + 3z).