Prove that n! (n + 2) = n!+ (n +1)!
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n*n-1*n-2! (n+2) = n*n-1*n-2! + n+1 *n* n-1*n-2!
n*n-1*n-2! = n*n-1*n-2! (1+n+1)
n*n-1*n-2! (n+2) - {n*n-1*n-2!} = n+2
n+2 =n+2
hence proved
n*n-1*n-2! = n*n-1*n-2! (1+n+1)
n*n-1*n-2! (n+2) - {n*n-1*n-2!} = n+2
n+2 =n+2
hence proved
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