-(-11n%2B2-14n%5E2).jpeg "(-7n^2+8n-4)-(-11n+2-14n^2)")
Simplifying the Expression: (-7n^2 + 8n - 4) - (-11n + 2 - 14n^2)
This expression involves subtracting one polynomial from another. Let's break down the steps to simplify it:
1. Distribute the Negative Sign:
The minus sign in front of the second set of parentheses means we need to multiply each term inside the parentheses by -1.
This gives us: (-7n^2 + 8n - 4) + 11n - 2 + 14n^2
2. Combine Like Terms:
Now, we can combine the terms with the same variable and exponent.
- n^2 terms: -7n^2 + 14n^2 = 7n^2
- n terms: 8n + 11n = 19n
- Constant terms: -4 - 2 = -6
3. Write the Simplified Expression:
Putting all the combined terms together, we get:
7n^2 + 19n - 6
Therefore, the simplified expression for (-7n^2 + 8n - 4) - (-11n + 2 - 14n^2) is 7n^2 + 19n - 6.