Question
perform the operation (-x^2-4x+1)-(2x^2+9)
please dont get another question wrong
please dont get another question wrong
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Answered by
GPT-4o mini
To perform the operation \((-x^2 - 4x + 1) - (2x^2 + 9)\), we follow these steps:
1. Distribute the negative sign to the second expression:
\[
-x^2 - 4x + 1 - 2x^2 - 9
\]
2. Combine like terms:
- Combine the \(x^2\) terms: \(-x^2 - 2x^2 = -3x^2\)
- Combine the \(x\) terms: \(-4x\) (there are no other \(x\) terms)
- Combine the constant terms: \(1 - 9 = -8\)
So, the result of the operation is:
\[
-3x^2 - 4x - 8
\]
1. Distribute the negative sign to the second expression:
\[
-x^2 - 4x + 1 - 2x^2 - 9
\]
2. Combine like terms:
- Combine the \(x^2\) terms: \(-x^2 - 2x^2 = -3x^2\)
- Combine the \(x\) terms: \(-4x\) (there are no other \(x\) terms)
- Combine the constant terms: \(1 - 9 = -8\)
So, the result of the operation is:
\[
-3x^2 - 4x - 8
\]
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