Respuesta :
The correct option is B which is the GFC is [tex]\rm 3m^2n[/tex].
What is GCF?
The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers.
To find the GCF of the two terms, the continuous division must be done.
Therefore,
The GFC is;
[tex]\rm= \dfrac{81m^5 n }{48 m^2} \times n^2 \\\\= \dfrac{27}{16 }\dfrac{ m^3}{n}[/tex]
Here 3 is the common factor for the coefficient.
So, the common factor is;
[tex]\rm \dfrac{81}{27}=3\\\\\dfrac{m^5}{m^3}=m^2\\\\\dfrac{n^2}{n}=n[/tex]
Hence, The correct option is B which is the GFC is [tex]\rm 3m^2n[/tex].
To know more about GFC click the link given below.
https://brainly.com/question/521142
