分式计算 (x+2/x-2+4/x平方-4x+4)÷x/x-2*x-2/x

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分式计算 (x+2/x-2+4/x平方-4x+4)÷x/x-2*x-2/x
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分式计算 (x+2/x-2+4/x平方-4x+4)÷x/x-2*x-2/x
分式计算 (x+2/x-2+4/x平方-4x+4)÷x/x-2*x-2/x

分式计算 (x+2/x-2+4/x平方-4x+4)÷x/x-2*x-2/x
(x+2/x-2+4/x平方-4x+4)÷x/x-2*x-2/x
=[(x+2)/(x-2)+4/(x-2)²]÷x/(x-2)*(x-2)/x
=(x²-4+4)/(x-2)²*(x-2)/x*(x-2)/x
=x²/(x-2)²*(x-2)²/x²
=1

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(x+2/x-2+4/x^2 -4x+4)÷x/x-2*x-...

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______/□□ \_∩- // //
\ 174 \_________\_//>_//>_
\________________________|
(x+2/x-2+4/x^2 -4x+4)÷x/x-2*x-2/x
=[(x+2)/(x-2)+4/(x-2)²]÷x/(x-2)*(x-2)/x
=(x²-4+4)/(x-2)²*(x-2)/x*(x-2)/x
=x²/(x-2)²*(x-2)²/x²
=1

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