Apply the Distributive Property to multiply 3a^3b^2(6ab+7a^2b), show your work.
To apply the Distributive Property, we need to multiply each term inside the parentheses by the term outside the parentheses:
First, multiply 3a^3b^2 by 6ab:
3a^3b^2 * 6ab = 18a^4b^3
Next, multiply 3a^3b^2 by 7a^2b:
3a^3b^2 * 7a^2b = 21a^5b^3
Now we add the two products together:
18a^4b^3 + 21a^5b^3
Therefore, the final result after applying the Distributive Property is:
18a^4b^3 + 21a^5b^3