Step 1 :Rewrite the division as multiplication: \(\frac{(x-3)^{2}}{x} \times \frac{2 x}{x^{2}-9}\)
Step 2 :Simplify the expression \((x-3)^{2}\) to \(x^{2} - 6x + 9\)
Step 3 :Factor the expression \(x^{2}-9\) to \((x-3)(x+3)\)
Step 4 :Substitute these simplifications into the expression: \(\frac{x^{2} - 6x + 9}{x} \times \frac{2 x}{(x-3)(x+3)}\)
Step 5 :Simplify the expression to \(\frac{2*(x - 3)}{x + 3}\)
Step 6 :Final Answer: \(\boxed{\frac{2*(x - 3)}{x + 3}}\)