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 follow these steps:

### Step 1: Set Up the Partial Fraction Decomposition
We express the given fraction as a sum of simpler fractions. Since the denominator consists of a linear factor \((x - 1)\) and a repeated quadratic factor \((x^2 + 1)^2\), we can write:

\[ \frac{2x - 3}{(x - 1)(x^2 + 1)^2} = \frac{A}{x - 1} + \frac{Bx + C}{x^2 + 1} + \frac{Dx + E}{(x^2 + 1)^2} \]
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