Correct
Perform the indicated operation by removing the parentheses and combining like terms.
\[
\left(-x^{2}+8 x-3\right)-(3 x-7)
\]
\(\boxed{-x^{2} + 5x + 4}\) is the final answer.
Step 1 :Distribute the negative sign to each term inside the second parentheses. This will change the sign of each term inside the parentheses.
Step 2 :Combine like terms. We can combine the terms with \(x\) and the constant terms.
Step 3 :The final expression is \(-x^{2} + 5x + 4\).
Step 4 :\(\boxed{-x^{2} + 5x + 4}\) is the final answer.