化简4a^3/(a^4+x^4)+1/(a+x)+2a/(a^2+x^2)+1/(a-x)

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化简4a^3/(a^4+x^4)+1/(a+x)+2a/(a^2+x^2)+1/(a-x)
化简4a^3/(a^4+x^4)+1/(a+x)+2a/(a^2+x^2)+1/(a-x)

化简4a^3/(a^4+x^4)+1/(a+x)+2a/(a^2+x^2)+1/(a-x)
4a^3/(a^4+x^4)+1/(a+x)+2a/(a^2+x^2)+1/(a-x)
=4a^3/(a^4+x^4)+2a/(a^2+x^2)+[1/(a-x) )+1/(a+x)]
=4a^3/(a^4+x^4)+[2a/(a^2+x^2)+2a/(a^2-x^2)]
=4a^3/(a^4+x^4)+4a^3/(a^4-x^4)
=8a^7/(a^8-x^8)

=1/(a+x)+1/(a-x)+4a^3/(a^4+x^4)+2a/(a^2+x^2)
=(a-x+a+x)/(a^2-x^2) )+2a/(a^2+x^2)+4a^3/(a^4+x^4)
=2a/(a^2-x^2) )+2a/(a^2+x^2)+4a^3/(a^4+x^4)
=4a^3/(a^4-x^4)+4a^3/(a^4+x^4)
=8a^7/(a^8-x^8)