Question

perform the operation.
\\((-x^2 - 3x + 3) - (-x^2 - 9x + 6)\\)

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. So, \((-x^{2}-3x + 3)-(-x^{2}-9x + 6)=-x^{2}-3x + 3+x^{2}+9x - 6\)

Step2: Combine like terms

• For the \(x^{2}\) terms: \(-x^{2}+x^{2}=0\)
• For the \(x\) terms: \(-3x + 9x = 6x\)
• For the constant terms: \(3-6=-3\)

Combining these results, we get \(0 + 6x-3=6x - 3\)

Answer:

\(6x - 3\)