Question

Find the greatest common factor of the following monomials: (9g² h³, 6g⁵ h², 21g⁴ h²).

A. (3g² h²)

B. (9g² h³)

C. (6g⁴ h²)

D. (3g³ h²)

Answer 1

The greatest common factor of the given monomials is (g²h²).

Step-by-step explanation:

To find the greatest common factor of the given monomials (9g²h³, 6g⁵h², 21g⁴h²), we need to determine the highest power of each variable that appears in all three of them.

1. For the variable 'g', the highest power that appears in all three monomials is g².
2. For the variable 'h', the highest power that appears in all three monomials is h².

Therefore, the greatest common factor of the monomials is (g²h²).