((x^2+4x+4)/(x^2-6x+9))-2+((9-6x+x^2)/(4+4x+x^2))*( (x^2-x-6)/(4x^2-4x+1))
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![((x^2+4x+4)/(x^2-6x+9))-2+((9-6x+x^2)/(4+4x+x^2))*( (x^2-x-6)/(4x^2-4x+1))](/uploads/image/z/2570489-17-9.jpg?t=%28%28x%5E2%2B4x%2B4%29%2F%28x%5E2-6x%2B9%29%29-2%2B%28%289-6x%2Bx%5E2%29%2F%284%2B4x%2Bx%5E2%29%29%2A%28+%28x%5E2-x-6%29%2F%284x%5E2-4x%2B1%29%29)
((x^2+4x+4)/(x^2-6x+9))-2+((9-6x+x^2)/(4+4x+x^2))*( (x^2-x-6)/(4x^2-4x+1))
((x^2+4x+4)/(x^2-6x+9))-2+((9-6x+x^2)/(4+4x+x^2))*( (x^2-x-6)/(4x^2-4x+1))
((x^2+4x+4)/(x^2-6x+9))-2+((9-6x+x^2)/(4+4x+x^2))*( (x^2-x-6)/(4x^2-4x+1))
朋友啊,我也在找这题答案,命哭啊T^T
[(x^2+4x+4)/(x^2-6x+9) -2+ (9-6x+x^2)/(4+4x+x^2)].(x^2-x-6)/(4x^2-4x+1)
=[(x+2)^2/(x-3)^2+(x-3)^2/[(x+2)^2-2]*(x-3)(x+2)/(2x-1)^2
=[(x+2)/(x-3)-(x-3)/(x+2)]^2*(x-3)(x+2)/(2x-1)^2
=[(4x+...
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[(x^2+4x+4)/(x^2-6x+9) -2+ (9-6x+x^2)/(4+4x+x^2)].(x^2-x-6)/(4x^2-4x+1)
=[(x+2)^2/(x-3)^2+(x-3)^2/[(x+2)^2-2]*(x-3)(x+2)/(2x-1)^2
=[(x+2)/(x-3)-(x-3)/(x+2)]^2*(x-3)(x+2)/(2x-1)^2
=[(4x+6x+4-9)/((x-3)(x+2))]^2]*(x-3)(x+2)/(2x-1)^2
=[5(2x-1)/((x-3)(x+2))]^2*(x-3)(x+2)/(2x-1)^2
=25/((x-3)(x+2))
=25*1/5*[1/(x-3)-1/(x+2)]
=5/(x-3)-5/(x+2)
收起