If n is the degree of the polynomial, $$\left[\frac{1}{\sqrt{5x^3+1} - \sqrt{5x^3-1}}\right]^8 + \left[\frac{1}{\sqrt{5x^3+1} + \sqrt{5x^3-1}}\right]^8$$ and m is the coefficient of $$x^n$$ in it, then the ordered pair (n, m) is equal to:

A

$$(12, (20)^4)$$

B

$$(8, 5(10)^4)$$

C

$$(24, (10)^8)$$

D

$$(12, 8(10)^4)$$