Simplifying the Expression: (−x2−3x+3)−(−x2−9x+6)
This problem involves simplifying an expression with polynomials. Let's break it down step-by-step:
1. Distribute the Negative Sign
The minus sign in front of the second set of parentheses acts as a multiplier. We distribute it to each term inside the parentheses:
(−x² − 3x + 3) + (x² + 9x - 6)
2. Combine Like Terms
Now we can combine terms with the same variable and exponent:
- x² terms: -x² + x² = 0
- x terms: -3x + 9x = 6x
- Constant terms: 3 - 6 = -3
3. Final Result
After combining like terms, the simplified expression is:
6x - 3