Simplify the given expression:
$1-\frac{1}{x-2}-\frac{3}{x^{2}-x-2}$

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Final Answer: The simplified form of the given expression is $\boxed{\frac{x^{2} - 2x - 6}{x^{2} - x - 2}}$

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Step 1 ：Given the expression: $1-\frac{1}{x-2}-\frac{3}{x^{2}-x-2}$

Step 2 ：We need to simplify this expression. To do this, we need to find a common denominator for all the fractions and then combine them. The common denominator in this case would be $(x-2)(x^{2}-x-2)$.

Step 3 ：By finding the common denominator and combining the fractions, we get the simplified expression: $\frac{x^{2} - 2x - 6}{x^{2} - x - 2}$

Step 4 ：Final Answer: The simplified form of the given expression is $\boxed{\frac{x^{2} - 2x - 6}{x^{2} - x - 2}}$

Simplify the given expression: $1-\frac{1}{x-2}-\frac{3}{x^{2}-x-2}$

Answer

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Simplify the given expression:
$1-\frac{1}{x-2}-\frac{3}{x^{2}-x-2}$