Final answer:
To simplify the expression (3x3 - 4x2 + 3x - 4) - (5x3 - 6x2 - 7x + 9), distribute the negative sign to each term inside the second set of parentheses, then combine like terms to get 8x3 + 2x2 + 10x - 13.
Step-by-step explanation:
To simplify the expression (3x3 - 4x2 + 3x - 4) - (5x3 - 6x2 - 7x + 9), we need to combine like terms. First, distribute the negative sign to each term inside the second set of parentheses, then combine like terms:
(3x3 - 4x2 + 3x - 4) - (5x3 - 6x2 - 7x + 9) = 3x3 - 4x2 + 3x - 4 - 5x3 + 6x2 + 7x - 9
Combine like terms:
8x3 + 2x2 + 10x - 13