化简:【(x²-1)分之(3x+4)-(x-1)分之2】÷(x²-2x+1)分之(x+2)

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化简:【(x²-1)分之(3x+4)-(x-1)分之2】÷(x²-2x+1)分之(x+2)
化简:【(x²-1)分之(3x+4)-(x-1)分之2】÷(x²-2x+1)分之(x+2)

化简:【(x²-1)分之(3x+4)-(x-1)分之2】÷(x²-2x+1)分之(x+2)
[(3x+4)/(x²-1)-2/(x-1)]÷(x+2)/(x²-2x+1)
=[(3x+4)/(x²-1)-2(x+1)/(x²-1)]÷(x+2)/(x-1)²
=(x-2)/(x²-1)÷(x+2)/(x-1)²
=(x-1)(x-2)/(x+1)(x+2)

(x-1)分之2 通分(x²-1)分之2 (x+2)

其余的自己算

[(3x+4)/(x²-1)-2/(x-1)]÷[(x+2)/(x²-2x+1)]
=[(3x+4)/(x²-1)-2(x+1)/(x²-1)]÷[(x+2)/(x-1)²]
=[(x+2)/(x²-1)]÷[(x+2)/(x-1)²]
=(x-1)²/(x²-1)
=(x-1)/(x+1)