(2n^2-5n-6)+(-n^2-3n+11)=

less than a minute read Jun 16, 2024
(2n^2-5n-6)+(-n^2-3n+11)=

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.

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