n!+(n+1)!/(n-1)!=
={[1*2*3*..*.(n-1)*n]+[1*2*3*....(n-1)*n*(n+1]}/[1*2*3*...(n-1)=
n+n*(n+1)=n+n^2+n=n^2+2n
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n!+(n+1)!/(n-1)!=
={[1*2*3*..*.(n-1)*n]+[1*2*3*....(n-1)*n*(n+1]}/[1*2*3*...(n-1)=
n+n*(n+1)=n+n^2+n=n^2+2n