# Expand it if you're crazy!

Number Theory Level 5

$\large \dfrac{\phi^{2016} - (1-\phi)^{2016} }{\sqrt5}$

Let $$\phi$$ denote the golden ratio, $$\phi = \dfrac{1+\sqrt5}2$$. Find the last two digits of the number above.

Bonus: Generalize this.

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