Perform the operation and simplify:
x
−
5
x
2
−
6
x
+
5
÷
x
+
3
x
−
1
\displaystyle \frac{{{x}-{5}}}{{{x}^{{2}}-{6}{x}+{5}}}\div\frac{{{x}+{3}}}{{{x}-{1}}}
x
2
−
6
x
+
5
x
−
5
÷
x
−
1
x
+
3
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