1.
а) а²+3/а³-(3-а)/3а=3(а²+3)-а²(3-а)/3а²=3а²+9-3а²+а³/3а³=9+а³/3а³
б) х/х+1+(х)/х+1=х(х+1)+х(х-1)/(х-1)(х+1)=х²+х+х²-х/х²-1=2х²/х²-1
в) х/х-2у-(4у²)/х²-2ху=х/х-2у-(4у²)/х(х-2у)=х²-4у²/х(х-2у)=(х-2у)(х+2у)/х(х-2у)=х+2у/х
г) 2а+b-(4ab)/2a+b=2a(2a+b)+b(2a+b)-4ab/2a+b=4a²+2ab+2ab+b²-4ab/2a+b=4a²+0+b²/2a+b=4a²+b²/2a+b
2.
3/х+3+(3)/х²-3х+(2х)/9-х²=3/х+3-(3)/х(-х+3)+(2х)/(3-х)(3+х)=3х(-х+3)-3(х+3)+2х²/х(-х+3)(х+3)=-3х²+9х-3х-9+2х²/х(-(х-3))(х+3)=-х(х-3)+3(х-3)/х(-(х-3))(х+3)=-(х-3)(х-3)/х(-(х-3)(х+3)=-(х-3)²/х(-(х-3))(х+3)=х-3/х(х+3)=х-3/х²+3х