We assume that it can be decomposed into the form:
\[
\frac{x}{(x-1)(x-2)} = \frac{A}{x-1} + \frac{B}{x-2}
\]
where \(A\) and \(B\) are constants that we need to determine.
Step 2:
To find \(A\) and \(B\), first clear the denominators by multiplying through by
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