Final answer:
The simplest form of 2x^3 - x^2 + 3 (x^3 - 4x^2) is 6x^3 -7x^2.
Step-by-step explanation:
The simplest form of 2x^3 - x^2 + 3 (x^3 - 4x^2) is:
- 6x^3 -7x^2
To simplify the expression, we need to distribute the 3 to both terms in the parenthesis:
2x^3 - x^2 + 3x^3 - 12x^2
Combining like terms, we get 5x^3 - 13x^2.