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Can someone solve these for me? 1.) Show that (F_(n-1))(F_(n+1)) - (F_n)^2 = (-1)^n for all...

Can someone solve these for me?

1.) Show that (F_(n-1))(F_(n+1)) - (F_n)^2 = (-1)^n for all n greater than or equal to 1. (F_n is a fibbonaci sequence)

2.) Use induction to prove that 6|(n^3−n) for every integer n ≥0

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