The correct answer is:
30a^5 + 24a^3b^2 + 15a^2b^3 + 1386a^3b^3
Step by step explanation:
To get this answer, we need to distribute the terms of the first expression (6a^3b^3) to the terms of the second expression (5a^2 + 46^2) using the distributive property:
(6a^3b^3) (5a^2 + 46^2) = 30a^5b^3 + 276a^3b^3 + 15a^2b^4 + 1386a^3b^3
We can simplify this expression by combining like terms, which gives us:
30a^5 + 24a^3b^2 + 15a^2b^3 + 1386a^3b^3
Therefore, the correct answer is 30a^5 + 24a^3b^2 + 15a^2b^3 + 1386a^3b^3.