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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation (A(9,9)+A(9,8)+A(9,7)+A(9,6)+A(9,5)+A(9,4))-16*((A(9,3)+A(9,2)+A(9,7)+A(9,6)+A(9,5)+A(9,4))) .
    Question type: Mathematical calculation
    Solution:
          (A(9,9)+A(9,8)+A(9,7)+A(9,6)+A(9,5)+A(9,4))-16*((A(9,3)+A(9,2)+A(9,7)+A(9,6)+A(9,5)+A(9,4)))
        =(362880+A(9,8)+A(9,7)+A(9,6)+A(9,5)+A(9,4))-16*((A(9,3)+A(9,2)+A(9,7)+A(9,6)+A(9,5)+A(9,4)))
        =(362880+362880+A(9,7)+A(9,6)+A(9,5)+A(9,4))-16*((A(9,3)+A(9,2)+A(9,7)+A(9,6)+A(9,5)+A(9,4)))
        =(362880+362880+181440+A(9,6)+A(9,5)+A(9,4))-16*((A(9,3)+A(9,2)+A(9,7)+A(9,6)+A(9,5)+A(9,4)))
        =(362880+362880+181440+60480+A(9,5)+A(9,4))-16*((A(9,3)+A(9,2)+A(9,7)+A(9,6)+A(9,5)+A(9,4)))
        =(362880+362880+181440+60480+15120+A(9,4))-16*((A(9,3)+A(9,2)+A(9,7)+A(9,6)+A(9,5)+A(9,4)))
        =(362880+362880+181440+60480+15120+3024)-16*((A(9,3)+A(9,2)+A(9,7)+A(9,6)+A(9,5)+A(9,4)))
        =985824-16*((A(9,3)+A(9,2)+A(9,7)+A(9,6)+A(9,5)+A(9,4)))
        =985824-16*((504+A(9,2)+A(9,7)+A(9,6)+A(9,5)+A(9,4)))
        =985824-16*((504+72+A(9,7)+A(9,6)+A(9,5)+A(9,4)))
        =985824-16*((504+72+181440+A(9,6)+A(9,5)+A(9,4)))
        =985824-16*((504+72+181440+60480+A(9,5)+A(9,4)))
        =985824-16*((504+72+181440+60480+15120+A(9,4)))
        =985824-16*((504+72+181440+60480+15120+3024))
        =985824-16*(260640)
        =985824-16*260640
        =985824-4170240
        =-3184416

    Answer:(A(9,9)+A(9,8)+A(9,7)+A(9,6)+A(9,5)+A(9,4))-16*((A(9,3)+A(9,2)+A(9,7)+A(9,6)+A(9,5)+A(9,4)))=-3184416


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