Problem

\[
\frac{3}{4 x^{2}-9 x-9}+\frac{1}{4 x^{2}+11 x+6}
\]
iplify your answer as much as possible.

Answer

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Answer

Final Answer: The simplified form of the given expression is \(\boxed{\frac{1}{x^{2}-x-6}}\)

Steps

Step 1 :The given expression is \(\frac{3}{4 x^{2}-9 x-9}+\frac{1}{4 x^{2}+11 x+6}\)

Step 2 :To simplify this expression, we need to find a common denominator for the two fractions. The common denominator will be the product of the two denominators.

Step 3 :After finding the common denominator, we can combine the two fractions into one.

Step 4 :Then, we can simplify the numerator of the resulting fraction if possible.

Step 5 :Final Answer: The simplified form of the given expression is \(\boxed{\frac{1}{x^{2}-x-6}}\)

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