Final answer:
To simplify the expression -3x³(-2x² + 4x - 3), distribute -3x³ to each term inside the parentheses and simplify.
Step-by-step explanation:
To simplify the expression -3x³(-2x² + 4x - 3), we need to distribute the -3x³ to each term inside the parentheses. This means multiplying each term by -3x³.
So, the expression simplifies to -3x³(-2x²) + (-3x³)(4x) + (-3x³)(-3).
Simplifying further, we get:
-6x⁵ + 12x⁴ - 9x³.
Therefore, the correct simplified expression is -6x⁵ + 12x⁴ - 9x³.