[x^2+2x-8/x^3+2x^2+x]÷[(x-2/x)×(x+4/x+1)]化简[x^2+2x-8/x^3+2x^2+x]÷[(x-2/x)×(x+4/x+1)]化简

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[x^2+2x-8/x^3+2x^2+x]÷[(x-2/x)×(x+4/x+1)]化简[x^2+2x-8/x^3+2x^2+x]÷[(x-2/x)×(x+4/x+1)]化简

[x^2+2x-8/x^3+2x^2+x]÷[(x-2/x)×(x+4/x+1)]化简[x^2+2x-8/x^3+2x^2+x]÷[(x-2/x)×(x+4/x+1)]化简
[x^2+2x-8/x^3+2x^2+x]÷[(x-2/x)×(x+4/x+1)]化简
[x^2+2x-8/x^3+2x^2+x]÷[(x-2/x)×(x+4/x+1)]
化简

[x^2+2x-8/x^3+2x^2+x]÷[(x-2/x)×(x+4/x+1)]化简[x^2+2x-8/x^3+2x^2+x]÷[(x-2/x)×(x+4/x+1)]化简
原式=[(x-2)(x+4)/x(x+1)(x+2)]÷[(x-2)(x+4)/x(x+1)]
=[(x-2)(x+4)/x(x+1)²]÷[(x-2)(x+4)/x(x+1)]
=[1/(x+1)]×[(x-2)(x+4)/x(x+1)]÷[(x-2)(x+4)/x(x+1)]
=1/(x+1)

[x^2+2x-8/x^3+2x^2+x]÷[(x-2/x)×(x+4/x+1)]
=[(x+4)(x-2)/x(x+1)^2]÷[(x-2)/x*(x+4)/(x+1)]
=[(x+4)(x-2)/x(x+1)^2]÷[(x-2)(x+4)/x(x+1)]
=[(x+4)(x-2)/x(x+1)^2]*x(x+1)/(x-2)(x+4)
=1/x(x+1)^2*x(x+1)
=1/(x+1)

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