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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 178.57×(3.9-1)-44.47×(3.9-1.99)×2-1/2×(27.24×41.21)×(3.9-2.89)×(3.9-2.89)/3×(27.24×2+41.24)/(27.24+41.24)×2 .
    Question type: Mathematical calculation
    Solution:
          178.57×(3.9-1)-44.47×(3.9-1.99)×2-1/2×(27.24×41.21)×(3.9-2.89)×(3.9-2.89)/3×(27.24×2+41.24)/(27.24+41.24)×2
        =178.57×2.9-44.47×(3.9-1.99)×2-1/2×(27.24×41.21)×(3.9-2.89)×(3.9-2.89)/3×(27.24×2+41.24)/(27.24+41.24)×2
        =178.57×2.9-44.47×1.91×2-1/2×(27.24×41.21)×(3.9-2.89)×(3.9-2.89)/3×(27.24×2+41.24)/(27.24+41.24)×2
        =178.57×2.9-44.47×1.91×2-1/2×1122.5604×(3.9-2.89)×(3.9-2.89)/3×(27.24×2+41.24)/(27.24+41.24)×2
        =178.57×2.9-44.47×1.91×2-1/2×1122.5604×1.01×(3.9-2.89)/3×(27.24×2+41.24)/(27.24+41.24)×2
        =178.57×2.9-44.47×1.91×2-1/2×1122.5604×1.01×1.01/3×(27.24×2+41.24)/(27.24+41.24)×2
        =178.57×2.9-44.47×1.91×2-1/2×1122.5604×1.01×1.01/3×95.72/(27.24+41.24)×2
        =178.57×2.9-44.47×1.91×2-1/2×1122.5604×1.01×1.01/3×95.72/68.48×2
        =517.853-44.47×1.91×2-1/2×1122.5604×1.01×1.01/3×95.72/68.48×2
        =517.853-84.9377×2-1/2×1122.5604×1.01×1.01/3×95.72/68.48×2
        =517.853-169.8754-1/2×1122.5604×1.01×1.01/3×95.72/68.48×2
        =517.853-169.8754-0.5×1122.5604×1.01×1.01/3×95.72/68.48×2
        =517.853-169.8754-561.2802×1.01×1.01/3×95.72/68.48×2
        =517.853-169.8754-566.893002×1.01/3×95.72/68.48×2
        =517.853-169.8754-572.561932/3×95.72/68.48×2
        =517.853-169.8754-190.853977×95.72/68.48×2
        =517.853-169.8754-18268.542678/68.48×2
        =517.853-169.8754-266.771943×2
        =517.853-169.8754-533.543886
        =347.9776-533.543886
        =-185.566286

    Answer:178.57×(3.9-1)-44.47×(3.9-1.99)×2-1/2×(27.24×41.21)×(3.9-2.89)×(3.9-2.89)/3×(27.24×2+41.24)/(27.24+41.24)×2=-185.566286


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