Question

which expression has a greatest common factor of 3h? a. 3 - 9h b. 6h² - 2h c. 18h² - 6 d. 12h + 21h²

Explanation:

Step1: Find GCF of Option A

Factor terms: $3 = 3$, $9h = 3^2h$. GCF is $3$.

Step2: Find GCF of Option B

Factor terms: $6h^2 = 2\cdot3\cdot h^2$, $2h = 2\cdot h$. GCF is $2h$.

Step3: Find GCF of Option C

Factor terms: $18h^2 = 2\cdot3^2\cdot h^2$, $6 = 2\cdot3$. GCF is $6$.

Step4: Find GCF of Option D

Factor terms: $12h = 2^2\cdot3\cdot h$, $21h^2 = 3\cdot7\cdot h^2$. GCF is $3h$.

Answer:

D. $12h + 21h^2$