Final answer:
To find and correct the mistakes in the given expression, combine like terms and distribute the negative sign.
Step-by-step explanation:
To find and correct the mistakes in the given expression and then simplify it, we can follow these steps:
- Simplify the given expression by combining like terms.
- Distribute the negative sign to the terms inside the parentheses.
- Combine all like terms again.
Let's now work through the steps:
Step 1:
Simplify the given expression: (2x³ - 2x² + 5x - 1) - (8x³ - 10x² - 2x + 4) + (-6x³ - 8x² + 3x + 3)
Combine like terms:
2x³ - 2x³ + 8x³ = 8x³
-2x² - 10x² - 8x² = -20x²
5x - 2x - 3x = 0x = 0
-1 + 4 - 3 = 0 - 6 = -6
The simplified expression is: 8x³ - 20x² - 6