Find the value of `tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))`

Explanation

To find the value of \( \tan^{-1}\left(\frac{x}{y}\right) - \tan^{-1}\left(\frac{x-y}{x+y}\right) \), we can use the formula for the difference of two inverse tangent functions:

\[ \tan^{-1}(a) - \tan^{-1}(b) = \tan^{-1}\left(\frac{a - b}{1 + ab}\right) \]

### Step-by-step Solution:

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