(∛a-a⁷/³)/(a¹/³-∛a⁴) +(a⁻¹/³-(∛a)⁵)/(a²/³-(∛a)⁻¹)=
=(a¹/³-a⁷/³)/(a¹/³-a⁴/³)+(a⁻¹/³-a⁵/³)/(a²/³-a⁻¹/³)=
=a¹/³(1-a⁶/³)/a¹/³(1-a³/³)+a⁻¹/³(1-a⁶/³)/a⁻¹/³(a³/³-1)=(1-a²)/(1-a)+(1-a²)/(a -1)=
=(1-a²-1+a²)/(1-a)=0/(1-a)=0
(1/2-0.375):0.125+(5/6+7/12):(0.358-0.108)=
=(0.5-0.375):0.125+(17/12):0.25=0.125:0.125+17/12:1/4=
=1+17·4/12=1+17/3=1+5²/₃=6²/₃.
[(3x²/³+5x¹/³)/(x+1)+1/(x¹/³ +1)]:(4x¹/³ +4+1/(x¹/³))=
=[(3x²/³+5x¹/³+(x²/³-x¹/³+1)]/[(x+1):[(4x²/³+4x¹/³+1)/x¹/³]=
=(3x²/³+5x¹/³+x²/³-x¹/³+1)·x¹/³/(x+1)(4x²/³+4x¹/³+1)=∛x/(x+1).
=(4x²/³+4x¹/³+1)x¹/³/(x+1)(4x²/³+4x¹/³+1)=x¹/³ :(x+1)=∛
