Asked by ψ(｀∇´)ψ
Factor 18m − 24n using the GCF. (1 point)
Responses
2(9m − 12n)
2 Left Parenthesis 9 m minus 12 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
9(2m − 3n)
Responses
2(9m − 12n)
2 Left Parenthesis 9 m minus 12 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
9(2m − 3n)
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To factor \( 18m - 24n \) using the greatest common factor (GCF), we first need to determine 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 largest common factor is 6.
Now, we can factor 6 out of \( 18m \) and \( -24n \):
\[
18m - 24n = 6(3m) - 6(4n) = 6(3m - 4n)
\]
Thus, the factored form of \( 18m - 24n \) using the GCF is:
\[
\boxed{6(3m - 4n)}
\]
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 largest common factor is 6.
Now, we can factor 6 out of \( 18m \) and \( -24n \):
\[
18m - 24n = 6(3m) - 6(4n) = 6(3m - 4n)
\]
Thus, the factored form of \( 18m - 24n \) using the GCF is:
\[
\boxed{6(3m - 4n)}
\]
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