Problem

5. $3(x-2)-\left(x^{2}-5\right)$

Answer

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Answer

\(\boxed{-x^{2} + 3x - 1}\) is the final simplified form of the expression.

Steps

Step 1 ：Given the expression $3(x-2)-(x^{2}-5)$

Step 2 ：Distribute the 3 in the first term to get $3x - 6 - (x^{2}-5)$

Step 3 ：Remove the parentheses to get $3x - 6 - x^{2} + 5$

Step 4 ：Rearrange the terms to group like terms together to get $-x^{2} + 3x - 1$

Step 5 ：\(\boxed{-x^{2} + 3x - 1}\) is the final simplified form of the expression.

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