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Show that for all integers n>1, f_(n+1)f_(n-1)=(f_n)^2 + (-1)^n Please use detailed explanation(I am confused on...

Show that for all integers n>1,

f_(n+1)f_(n-1)=(f_n)^2 + (-1)^n

Please use detailed explanation(I am confused on how to factor fibonacci numbers)

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