Apply the Distributive Property to multiply 3a^3b^2(6ab + 7a^2b)

A 9a^3b^2+10a^6b^2
B 18a^4b^3+21a^5b^3
C 9a^4b^3+10a^5b^3
D 18a^3b^2+21a^6b^2

First, distribute the 3a^3b^2 to both terms inside the parentheses:

3a^3b^2 * 6ab = 18a^4b^3
3a^3b^2 * 7a^2b = 21a^5b^3

Combine the two results to get:

18a^4b^3 + 21a^5b^3

Therefore, the correct answer is B) 18a^4b^3 + 21a^5b^3.