# Disregard the Book!

Algebra Level pending

Suppose $$n$$ is a real positive Integer such that:

$\frac{(n^{2})!}{(n-1)!} = \frac{(n^{2} -1)!}{(n-2)!} .$

Find $$n^{8} - \dfrac{1}{n^{8}}$$.

×