Final answer:
To simplify the expression (3x² + 6x - 1)(-3x + 4), use the distributive property and combine like terms.
Step-by-step explanation:
To simplify the expression (3x² + 6x - 1)(-3x + 4), we need to use the distributive property of multiplication over addition. This means that we need to multiply each term in the first expression by each term in the second expression and combine like terms.
So, we have:
- -9x³ + 12x² + 18x² - 24x - 3x + 4
- = -9x³ + (12 + 18)x² + (-24 - 3)x + 4
- = -9x³ + 30x² - 27x + 4
Therefore, the simplified form of (3x² + 6x - 1)(-3x + 4) is -9x³ + 30x² - 27x + 4.