Question

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

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial from the first, we distribute the negative sign to each term in the second polynomial:
\((-x^2 - 4x + 1) - (2x^2 + 9) = -x^2 - 4x + 1 - 2x^2 - 9\)

Step2: Combine like terms

Now, we combine the like terms. For the \(x^2\) terms: \(-x^2 - 2x^2 = -3x^2\). The \(x\) term remains \(-4x\) as there are no other \(x\) terms. For the constant terms: \(1 - 9 = -8\).
Putting it all together, we get: \(-3x^2 - 4x - 8\)

Answer:

\(-3x^2 - 4x - 8\)