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

Answer 1

To apply the distributive property, we need to multiply 3a^3b^2 by both terms inside the parentheses:

3a^3b^2 * 6ab = 18a^4b^3

3a^3b^2 * 7a^2b = 21a^5b^3

Adding these two terms together:

18a^4b^3 + 21a^5b^3 = 39a^5b^3 + 18a^4b^3

Therefore, 3a^3b^2(6ab+7a^2b) simplifies to 39a^5b^3 + 18a^4b^3.