Resolve `(2x-3)/((x-1)(x^(2)+1)^(2))` into partial fractions,

Explanation

To resolve the expression \(\frac{2x-3}{(x-1)(x^2+1)^2}\) into partial fractions, we will follow these steps:

### Step 1: Set up the Partial Fraction Decomposition
We can express the given fraction as a sum of simpler fractions. The form will be:
\[ \frac{2x-3}{(x-1)(x^2+1)^2} = \frac{A}{x-1} + \frac{Bx + C}{x^2 + 1} + \frac{Dx + E}{(x^2 + 1)^2} \]
where \(A\), \(B\), \(C\), \(D\), and \(E\) are constants that we need to determine.
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