Mathematics
         
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[1/1 Formula]
    Work: Calculate the value of equation 4×((50^2+100^2)+(150^2+100^2)+(50^2+200^2)+(150^2+200^2)+(50^2+300^2)+(150^2+300^2)+(50^2+400^2)+(150^2+400^2)) .
    Question type: Mathematical calculation
    Solution:
          4×((50^2+100^2)+(150^2+100^2)+(50^2+200^2)+(150^2+200^2)+(50^2+300^2)+(150^2+300^2)+(50^2+400^2)+(150^2+400^2))
        =4×(12500+(150^2+100^2)+(50^2+200^2)+(150^2+200^2)+(50^2+300^2)+(150^2+300^2)+(50^2+400^2)+(150^2+400^2))
        =4×(12500+32500+(50^2+200^2)+(150^2+200^2)+(50^2+300^2)+(150^2+300^2)+(50^2+400^2)+(150^2+400^2))
        =4×(12500+32500+42500+(150^2+200^2)+(50^2+300^2)+(150^2+300^2)+(50^2+400^2)+(150^2+400^2))
        =4×(12500+32500+42500+62500+(50^2+300^2)+(150^2+300^2)+(50^2+400^2)+(150^2+400^2))
        =4×(12500+32500+42500+62500+92500+(150^2+300^2)+(50^2+400^2)+(150^2+400^2))
        =4×(12500+32500+42500+62500+92500+112500+(50^2+400^2)+(150^2+400^2))
        =4×(12500+32500+42500+62500+92500+112500+162500+(150^2+400^2))
        =4×(12500+32500+42500+62500+92500+112500+162500+182500)
        =4×700000
        =2800000

    Answer:4×((50^2+100^2)+(150^2+100^2)+(50^2+200^2)+(150^2+200^2)+(50^2+300^2)+(150^2+300^2)+(50^2+400^2)+(150^2+400^2))=2800000


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