((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))((x^2+4x+4)/(x^2-6x+9))-2+(

((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+...

全部展开

[(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

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