【【【急】】】分式计算x^2-x-6/x-3 ÷ x-3/x^2-5x+6x^2-x-6/x-3 ÷ x-3/x^2-5x+6

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【【【急】】】分式计算x^2-x-6/x-3 ÷ x-3/x^2-5x+6x^2-x-6/x-3 ÷ x-3/x^2-5x+6
【【【急】】】分式计算x^2-x-6/x-3 ÷ x-3/x^2-5x+6
x^2-x-6/x-3 ÷ x-3/x^2-5x+6

【【【急】】】分式计算x^2-x-6/x-3 ÷ x-3/x^2-5x+6x^2-x-6/x-3 ÷ x-3/x^2-5x+6
原式=[(x²-x-6)/(x-3)]÷[(x-3)/(x²-5x+6)]
={[(x+2)(x-3)]/(x-3)}÷{(x-3)/[(x-2)(x-3)]}
=(x+2)÷[1/(x-2)]
=(x+2)×(x-2)
=x²-4

(x²-x-6/x-3)÷(x-3/x²-5x+6)
=(x²-x-6/x-3)×(x²-5x+6/x-3)
=[(x-3)(x+2)/x-3]×[(x-2)(x-3)/x-3]
=(x+2)×(x-2)
=x²-4

原式等于=(x²-x-6)/(x-3)÷(x-3)/(x²-5x+6)
=(x+2)(x-3)]/(x-3)÷(x-3)/[(x-2)(x-3)]
=(x+2)÷1/(x-2)
=(x+2)*(x-2)
=x²-4