Asked by Gir
Factor 18m − 24n
18
𝑚
−
24
𝑛
using the GCF. (1 point)
Responses
6(3m − 4n)
6
(
3
𝑚
−
4
𝑛
)
6 Left Parenthesis 3 m minus 4 n Right Parenthesis
3(6m − 12n)
3
(
6
𝑚
−
12
𝑛
)
3 Left Parenthesis 6 m minus 12 n Right Parenthesis
9(2m − 3n)
9
(
2
𝑚
−
3
𝑛
)
9 Left Parenthesis 2 m minus 3 n Right Parenthesis
2(9m − 12n) ...........................
18
𝑚
−
24
𝑛
using the GCF. (1 point)
Responses
6(3m − 4n)
6
(
3
𝑚
−
4
𝑛
)
6 Left Parenthesis 3 m minus 4 n Right Parenthesis
3(6m − 12n)
3
(
6
𝑚
−
12
𝑛
)
3 Left Parenthesis 6 m minus 12 n Right Parenthesis
9(2m − 3n)
9
(
2
𝑚
−
3
𝑛
)
9 Left Parenthesis 2 m minus 3 n Right Parenthesis
2(9m − 12n) ...........................
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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 GCF of 18 and 24 is 6.
Now we can factor 6 out of the expression:
\[
18m - 24n = 6(3m - 4n)
\]
Thus, the factored form of \(18m - 24n\) is:
\[
6(3m - 4n)
\]
So the correct response is:
\[
6(3m - 4n)
\]
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 GCF of 18 and 24 is 6.
Now we can factor 6 out of the expression:
\[
18m - 24n = 6(3m - 4n)
\]
Thus, the factored form of \(18m - 24n\) is:
\[
6(3m - 4n)
\]
So the correct response is:
\[
6(3m - 4n)
\]
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