Mathematics
         
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    Current location:Mathematical operation > History of Mathematical Computation > Answer

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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 15*14-14*13+13*12-12*11+11*10-10*9+9*8-8*7+7*6-6*5+5*4-4*3+3*2-2*1 .
    Question type: Mathematical calculation
    Solution:
          15*14-14*13+13*12-12*11+11*10-10*9+9*8-8*7+7*6-6*5+5*4-4*3+3*2-2*1
        =210-14*13+13*12-12*11+11*10-10*9+9*8-8*7+7*6-6*5+5*4-4*3+3*2-2*1
        =210-182+13*12-12*11+11*10-10*9+9*8-8*7+7*6-6*5+5*4-4*3+3*2-2*1
        =210-182+156-12*11+11*10-10*9+9*8-8*7+7*6-6*5+5*4-4*3+3*2-2*1
        =210-182+156-132+11*10-10*9+9*8-8*7+7*6-6*5+5*4-4*3+3*2-2*1
        =210-182+156-132+110-10*9+9*8-8*7+7*6-6*5+5*4-4*3+3*2-2*1
        =210-182+156-132+110-90+9*8-8*7+7*6-6*5+5*4-4*3+3*2-2*1
        =210-182+156-132+110-90+72-8*7+7*6-6*5+5*4-4*3+3*2-2*1
        =210-182+156-132+110-90+72-56+7*6-6*5+5*4-4*3+3*2-2*1
        =210-182+156-132+110-90+72-56+42-6*5+5*4-4*3+3*2-2*1
        =210-182+156-132+110-90+72-56+42-30+5*4-4*3+3*2-2*1
        =210-182+156-132+110-90+72-56+42-30+20-4*3+3*2-2*1
        =210-182+156-132+110-90+72-56+42-30+20-12+3*2-2*1
        =210-182+156-132+110-90+72-56+42-30+20-12+6-2*1
        =210-182+156-132+110-90+72-56+42-30+20-12+6-2
        =28+156-132+110-90+72-56+42-30+20-12+6-2
        =184-132+110-90+72-56+42-30+20-12+6-2
        =52+110-90+72-56+42-30+20-12+6-2
        =162-90+72-56+42-30+20-12+6-2
        =72+72-56+42-30+20-12+6-2
        =144-56+42-30+20-12+6-2
        =88+42-30+20-12+6-2
        =130-30+20-12+6-2
        =100+20-12+6-2
        =120-12+6-2
        =108+6-2
        =114-2
        =112

    Answer:15*14-14*13+13*12-12*11+11*10-10*9+9*8-8*7+7*6-6*5+5*4-4*3+3*2-2*1=112


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