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i have invented some formulae. thus1-abcd.....N number×1.......1 ntimes= a (a+b)(a+b +c)......(a+b+c+d+......+Nnumber){(a+b+c+d+….+N number)…..n-Ntimes}(b+c+d+........+Nnumber)(c+d +e+.......+N number).............{(N-1)thnumber+Nth number} Nth number ,where for all ,n≥N,n≥2,N≥0 2- (abcde.... n number)×{1.......(n+N)times}=a(a+b) (a+b+c)......(a+b+c+d+......+n number){(a+b+c+….+n number)…..Ntimes}(b+c+d+........+nnumber)(c+d+e+.......+n number).............{(n-1)th number+nth number}nth number 3- abcd……(n+N) number×1…..ntimes=a(a+b)(a+b+c)......ntimes(b+c+d+....+upto n number)(c+d+e+....... ....+upto n number).............(n+N) th number

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