Simplifying the Expression: (2n^2 - 5n - 6) + (-n^2 - 3n + 11)
This expression involves combining two polynomials. To simplify it, we'll use the principles of combining like terms.
Step 1: Identify Like Terms
- n^2 terms: 2n^2 and -n^2
- n terms: -5n and -3n
- Constant terms: -6 and 11
Step 2: Combine Like Terms
- n^2 terms: 2n^2 + (-n^2) = n^2
- n terms: -5n + (-3n) = -8n
- Constant terms: -6 + 11 = 5
Step 3: Write the Simplified Expression
Combining the results from step 2, we get the simplified expression:
n^2 - 8n + 5
Therefore, (2n^2 - 5n - 6) + (-n^2 - 3n + 11) simplifies to n^2 - 8n + 5.