[2/(x+1)+x/(1-x²)-(3x+6)/(x²+x-2)]:1/(1-x)=
1-x²=(1-x)(1+x)
(x²+x-2)=(x²-x+2x-2)=x(x-1)+2(x-1)=(x-1)(x+2)
=[2/(x+1)+x/(1-x)(1+x)-3(x+2)/(x-1)(x+2)] × (1-x)=
=[2/(x+1)-x/(x-1)(x+1)-3/(x-1)] × (1-x)=
=(2x-2-x-3x-3)/(x-1)(x+1) × (1-x)=
=(-2x-5)/(x-1)(x+1) × (1-x)=
=(2x+5)/(1-x)(x+1) × (1-x)=
=(2x+5)/(x+1)