What is the value of $$\frac{1+x}{1-x^{2}} \div \frac{1+x}{1-x^{4}} - \frac{1-x^{2}}{1-x} \times \frac{(1+x)}{1-x^{2}}$$?

A

$$\frac{2x(1+x^{2})}{(1-x)}$$

B

$$\frac{2x(1+x^{2})}{(x-1)}$$

C

$$(1-x)^{2}$$

D

$$(1+x^{2})$$