Question: Prove without using induction that n^4 -4n^2 is divisible by 3 for all n greaterthanorequalto 0. How many distinct boolean functions on N variables are

Prove without using induction that n^4 -4n^2 is divisible by 3

Prove without using induction that n^4 -4n^2 is divisible by 3 for all n greaterthanorequalto 0. How many distinct boolean functions on N variables are there? In other words, what is the cardinality of |{f|f: {0,1}^N rightarrow {0, 1}}|

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