(急速)分式运算:(1)ab分之a-b+bc分之b-c+ca-查字典问答网
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  (急速)分式运算:(1)ab分之a-b+bc分之b-c+ca分之c-a(2)x-1分之1-x+1分之1-x^2+1分之2(3)x-y+x+y分之2y^2(4)x+2y+x-2y分之4y^2+4y^2-x^2分之4x^3y(5)(1+x-1分之1)÷x^2-1分之x^2

  (急速)分式运算:(1)ab分之a-b+bc分之b-c+ca分之c-a(2)x-1分之1-x+1分之1-x^2+1分之2

  (3)x-y+x+y分之2y^2

  (4)x+2y+x-2y分之4y^2+4y^2-x^2分之4x^3y

  (5)(1+x-1分之1)÷x^2-1分之x^2

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2020-12-2804:29
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李印清

  (1)ab分之a-b+bc分之b-c+ca分之c-a

  =(ac-bc+ab-ac+bc-ab)/abc

  =0/abc

  =0

  (2)x-1分之1-x+1分之1-x^2+1分之2

  =(x+1-x+1)/(x²-1)-2/(x²+1)

  =2/(x²-1)-2/(x²+1)

  =(2x²-2-2x²-2)/(x^4-1)

  =-4/(x^4-1)

  (3)x-y+x+y分之2y^2

  =(x²-y²+2y²)/(x+y)

  =(x²+y²)/(x+y)

  (4)x+2y+x-2y分之4y^2+4y^2-x^2分之4x²y

  =(x²-4y²+4y²)/(x-2y)-4x²y/(x²-4y²)

  =(x²+2x²y-4x²y)/(x²-4y²)

  =(x²-2x²y)/(x²-4y²)

  (5)(1+x-1分之1)÷x^2-1分之x^2

  =(x-1+1)/(x-1)÷x²/(x-1)(x+1)

  =x/(x-1)*(x+1)(x-1)/x²

  =(x+1)/x

2020-12-28 04:34:18
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