Final answer:
To apply the distributive property to 2(3x^2 + 6v^3), multiply each term inside the parentheses by 2 to get 6x^2 + 12v^3.
Step-by-step explanation:
Using the distributive property to remove the parentheses in the expression 2(3x2 + 6v3) involves multiplying each term inside the parentheses by 2. This is similar to examples of cubing of exponentials or multiplying exponential terms, where the same principle of distribution applies. However, unlike examples that involve power rules or simplifying complex exponentials, this case is straightforward multiplication. The resulting expression would be 6x2 + 12v3.