Answer
$=\frac{x+4}{(x-2)(x-1)}$
Work Step by Step
We simplify as follows:
$\frac{5}{x^{2}-3x+2}+\frac{1}{x-2}$
$=\frac{5}{(x-2)(x-1)}+\frac{x-1}{(x-2)(x-1)}$
$=\frac{x+4}{(x-2)(x-1)}$
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