Simplifying the Expression: (-5x^2 + 5x - 5) - (3x^2 + x)
This expression involves subtracting two polynomials. To simplify it, we need to distribute the negative sign and combine like terms. Here's how:
1. Distribute the Negative Sign:
The expression becomes: -5x^2 + 5x - 5 - 3x^2 - x
2. Combine Like Terms:
- x^2 terms: -5x^2 - 3x^2 = -8x^2
- x terms: 5x - x = 4x
- Constant terms: -5 = -5
3. Simplified Expression:
The simplified expression is: -8x^2 + 4x - 5
Therefore, the simplified form of the given expression is -8x^2 + 4x - 5.