1/(a-b)-1/(a+b)-2b/(a^2+b^2)-4b^3/a^4+b^4+8b^7/b^8-a^81/(a-b)-1/(a+b)-2b/(a^2+b^2)-4b^3/(a^4+b^4)+8b^7/(b^8-a^8)

1/(a-b)-1/(a+b)-2b/(a^2+b^2)-4b^3/a^4+b^4+8b^7/b^8-a^81/(a-b)-1/(a+b)-2b/(a^2+b^2)-4b^3/(a^4+b^4)+8b^7/(b^8-a^8)
1/(a-b)-1/(a+b)-2b/(a^2+b^2)-4b^3/a^4+b^4+8b^7/b^8-a^8
1/(a-b)-1/(a+b)-2b/(a^2+b^2)-4b^3/(a^4+b^4)+8b^7/(b^8-a^8)

1/(a-b)-1/(a+b)-2b/(a^2+b^2)-4b^3/a^4+b^4+8b^7/b^8-a^81/(a-b)-1/(a+b)-2b/(a^2+b^2)-4b^3/(a^4+b^4)+8b^7/(b^8-a^8)
原式=[(a+b)-(a-b)]/(a+b)(a-b)-2b/(a^2+b^2)-4b^3/(a^4+b^4)+8b^7/(b^8-a^8)
=2b/(a^2-b^2)-2b/(a^2+b^2)-4b^3/(a^4+b^4)+8b^7/(b^8-a^8)
=2b(a^2+b^2-a^2+b^2)/(a^2+b^2)(a^2-b^2)-4b^3/(a^4+b^4)+8b^7/(b^8-a^8)
=4b^3/(a^4-b^4)-4b^3/(a^4+b^4)+8b^7/(b^8-a^8)
=8b^7/(a^8-b^4)-8b^7/(a^8-b^8)
=0

得0