If $$\left(x - \frac{1}{x}\right)^{2} = 12$$, what is the value of $$\left(x^{2} - \frac{1}{x^{2}}\right)$$, given that $$x > 0$$?

A

$$6\sqrt{2}$$

B

$$8\sqrt{3}$$

C

$$6\sqrt{3}$$

D

$$8\sqrt{2}$$