Answer:
Explanation:
To find the greatest common factor (GCF) of monomials, we need to identify the highest power of each variable that appears in all the monomials and multiply them together.
The variables in the given monomials are g and h.
The highest power of g that appears in all three monomials is g^2 in the first monomial and g^4 in the third monomial. Therefore, the highest power of g that appears in all three monomials is g^2.
The highest power of h that appears in all three monomials is h^2.
Thus, the GCF of the given monomials is:
GCF = g^2h^2
Therefore, the GCF of 9g^2h^3, 6g^5h^2, and 21g^4h^2 is g^2h^2.