perform the operation (-x^2-4x+1)-(2x^2+9)

please dont get another question wrong

1 answer

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:

\[ -3x^2 - 4x - 8 \]