1
1)(2x-3)/(x+1)+(x+1)/2(x-1)-(x²+3)/2(x-1)(x+1)=(4x²-4x-6x+6+x²+2x+1-x²-3)/2(x²-1)=
=(4x²-8x+4)/2(x²-1)=4(x-1)²/2(x-1)(x+1)=2(x-1)/(x+1)
2)2(x-1)/(x+1)+(x+1)(x²-x+1)/x=(2x²-2x+2)/x
3)2x -(2x²-2x+2)/x=(2x²-2x²|2x-2)/x=(2x-2)/x
2
1)x-1/(1-x)=(x²-x+1)/(x-1)
2)(x²-x+1)/(x-1):(x²-x+1)/(x²-2x+1)=(x²-x+1)/(x-1) * (x-1)²/(x²-x+1)=x-1
3)1+x-1=x