Question

Question

Factor 18m − 24n
using the GCF. (1 point)
Responses

​​​​​​​9(2m − 3n)
9 Left Parenthesis 2 m minus 3 n Right Parenthesis

​​​​​​​3(6m − 12n)
3 Left Parenthesis 6 m minus 12 n Right Parenthesis

​​​​​​​2(9m − 12n)
2 Left Parenthesis 9 m minus 12 n Right Parenthesis

​​​​​​​6(3m − 4n)

Answer 1

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 factors of 18 are:

• 1, 2, 3, 6, 9, 18

The factors of 24 are:

• 1, 2, 3, 4, 6, 8, 12, 24

The greatest common factor of 18 and 24 is 6.

Now, we can factor out the GCF (which is 6) from the expression:

\[ 18m - 24n = 6(3m - 4n) \]

So, the correct response is:

6(3m − 4n).