Final answer:
To solve the polynomial subtraction (x³ - 2x² + 4x + 6) - (-4x + x² - 3), we combine like terms to get the simplified expression x³ - 3x² + 8x + 9.
Step-by-step explanation:
The student has asked to solve a polynomial subtraction problem: (x³ - 2x² + 4x + 6) - (-4x + x² - 3). We start by removing the parentheses and changing the sign of the terms inside the second pair of parentheses due to the minus sign in front of it. The problem then becomes a simple matter of combining like terms.
The original expression simplifies to:
- x³ - 2x² + 4x + 6 + 4x - x² + 3
Combine the x² terms:
Combine the x terms:
Combine the constant terms:
The final simplified expression is:
No further simplification is possible because this is not a quadratic equation and cannot be solved by the quadratic formula.