The greatest common factor between the expressions is 6v.
How to find the greatest common factor?
We have the expressions:
We can see that the smallest power of "v" is 1, and it appears on the second expression, so the greatest common factor will be a number times v.
To get the number, we need to find the greatest common factor between the 3 coefficients.
12, 30, and 42.
Rewriting these 3 numbers we can see that:
12 = 2*2*3
30 = 2*3*5
42 = 2*3*7
In all the cases we can see that the factor 2*3 appears, so that is the greatest common factor between the coefficients.
So we can conclude that the greatest common factor between the expressions is:
2*3*v = 6v
And we can rewrite:
- 12v^2 = (6v)*(2v)
- 30v = (6v)*(5)
- 42v^4 = (6v)*(7v^3)
If you want to learn more about common factors, you can read:
https://brainly.com/question/219464
