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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)

1 answer

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.

  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 the GCF from the expression:

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

So, the factored form of \( 18m - 24n \) is:

6(3m - 4n)

Thus, the correct response is 6(3m - 4n).