Prove without using induction that  Fn+1^2 - Fn^2 = Fn-1 * F n+2 where F represents a Fibonacci number. Please show all steps, especially how multiplying (Fn+1 - Fn) * (Fn+1 - Fn) on the LHS equals Fn-1 * F n+2.

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A: To Find:The general formula and prove it by induction.

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