(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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(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
(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
(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