Factor Algebraic Expressions Quick Check

Question

5 of 55 of 5 Items
Question
Factor 18m − 24n
using the GCF. (1 point)
Responses

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

​​​​​​​6(3m − 4n)
6 Left Parenthesis 3 m minus 4 n Right Parenthesis

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

​​​​​​​2(9m − 12n)

Answer 1

To factor the expression \( 18m - 24n \) using the greatest common factor (GCF), we first need to determine what the GCF of the coefficients (18 and 24) is.

1. The factors of 18 are: \( 1, 2, 3, 6, 9, 18 \)
2. 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 6 from the expression:

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

So, the correct answer is:

6(3m − 4n)