Problem

Simplify the complex rational expression by the method of your choice.
\[
\frac{\frac{1}{x+5}-\frac{1}{x}}{5}
\]

Answer

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Answer

The simplified form of the given complex rational expression is \(\boxed{-\frac{1}{x(x+5)}}\)

Steps

Step 1 :Given the complex rational expression \(\frac{\frac{1}{x+5}-\frac{1}{x}}{5}\)

Step 2 :We simplify the expression using symbolic computation.

Step 3 :The simplified form of the given complex rational expression is \(\boxed{-\frac{1}{x(x+5)}}\)

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