(x-2)分之1+(x+2)分之1+(x平方+4)分之2x+(x四次方+16)分之4x三次方

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(x-2)分之1+(x+2)分之1+(x平方+4)分之2x+(x四次方+16)分之4x三次方
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(x-2)分之1+(x+2)分之1+(x平方+4)分之2x+(x四次方+16)分之4x三次方
(x-2)分之1+(x+2)分之1+(x平方+4)分之2x+(x四次方+16)分之4x三次方

(x-2)分之1+(x+2)分之1+(x平方+4)分之2x+(x四次方+16)分之4x三次方
=(x+2)/(x²-4)+(x-2)/(x²-4)+(x平方+4)分之2x+(x四次方+16)分之4x三次方
=2x/(x²-4)+(x平方+4)分之2x+(x四次方+16)分之4x三次方
=[2x(x²+4)+2x(x²-4)]/(x的4次方-16)+(x四次方+16)分之4x三次方
=4x³/(x的4次方-16)+4x³/(x的4次方+16)
=8x的7次方/(x的8次方-256)

关键点是二项二项通分,合并

1/(x-2)+1/(x+2)+2x/(x²+4)+4x^3/(x^4+16)
=【（x+2)+(x-2）】/【(x+2)(x-2)】+2x/(x²+4)+4x^3/(x^4+16)
=2x/（x²-4)+2x/(x²+4)+4x^3/(x^4+16)
=【2x(x²+4)+2x（x²-4)】/【(x²-...

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1/(x-2)+1/(x+2)+2x/(x²+4)+4x^3/(x^4+16)
=【（x+2)+(x-2）】/【(x+2)(x-2)】+2x/(x²+4)+4x^3/(x^4+16)
=2x/（x²-4)+2x/(x²+4)+4x^3/(x^4+16)
=【2x(x²+4)+2x（x²-4)】/【(x²-4）（x²+4)】+4x^3/(x^4+16)
=4x^3/(x^4-16)+4x^3/(x^4+16)
=【4x^3*(x^4+16)+4x^3*(x^4-16)】/【(x^4-16)*(x^4+16)】
=8x^7/(x^8-256)

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1/(x-2)+1/(x+2)+2x/(x²+4)+4x³/(x^4+16)=(x+2+x-2)/(x-2)(x+2)+2x/(x²+4)+4x³/(x^4+16)(前两项先通分)
=2x/（x²-4）+2x/(x²+4)+4x³/(x^4+16)=[2x（x²+4）+2x（x²-4）]/(x...

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1/(x-2)+1/(x+2)+2x/(x²+4)+4x³/(x^4+16)=(x+2+x-2)/(x-2)(x+2)+2x/(x²+4)+4x³/(x^4+16)(前两项先通分)
=2x/（x²-4）+2x/(x²+4)+4x³/(x^4+16)=[2x（x²+4）+2x（x²-4）]/(x²-4）（x²+4)+4x³/(x^4+16)
=4x³/（x^4-16）+4x³/(x^4+16)=[4x³（x^4+16）+4x³（x^4-16)]/(x^4-16)(x^4+16)
=8x^7/(x^8-256)

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