2x^3(-3x^2 + 3x - 1)

To multiply 2x^3 by (-3x^2 + 3x - 1), you need to distribute 2x^3 to each term inside the parentheses:

2x^3 * -3x^2 + 2x^3 * 3x - 2x^3 * 1

When multiplying the terms, add the exponents:

-6x^5 + 6x^4 - 2x^3

So, the final answer is -6x^5 + 6x^4 - 2x^3.