Factor 18m − 24n using the GCF. (1 point) Responses 3(6m − 12n) 3 Left Parenthesis 6 m minus 12 n Right Parenthesis 6(3m − 4n) 6 Left Parenthesis 3 m minus 4 n Right Parenthesis 2(9m − 12n) 2 Left Parenthesis 9 m minus 12 n Right Parenthesis 9(2m − 3n)
To factor 18m - 24n using the GCF (Greatest Common Factor), we first need to find the GCF of the coefficients 18 and 24, which is 6.
We can then divide each term by 6 to factor out the GCF:
18m ÷ 6 = 3m
-24n ÷ 6 = -4n
So, the factored form of 18m - 24n using the GCF is 6(3m - 4n).
Therefore, the correct response is: 6(3m - 4n).
The correct answer is:
6(3m − 4n)
u sure
I apologize for the confusion. Yes, I am sure that the correct answer is 6(3m − 4n). This is because the greatest common factor (GCF) of 18m and 24n is 6, and when you factor out the GCF, you are left with 3m − 4n. Multiplying this by the GCF of 6 gives you the expression 6(3m − 4n).
To factor the expression 18m - 24n using the greatest common factor (GCF), we first need to find the GCF of the coefficients 18 and 24.
The prime factorization of 18 is 2 * 3 * 3, and the prime factorization of 24 is 2 * 2 * 2 * 3. To find the GCF, we take the highest power of common prime factors, which is 2 * 3 = 6.
Now, we divide each term in the expression by the GCF, which is 6:
(18m - 24n) / 6 = 3m - 4n
So, the factored form of 18m - 24n using the GCF 6 is 6(3m - 4n).
Therefore, the correct response is 6(3m - 4n).