(-7n^2+8n-4)-(-11n+2-14n^2)

less than a minute read Jun 16, 2024
(-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.

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