1、公分母:2X(X+1)(X-1),
X/2(X+1)=X^2(X-1)/2X(X+1)(X-1),
1/X^2-X=2(X+1)/2X(X+1)(X-1);
2、原式=(X+1)/(X+1)(X-1)=1/(X-1);
3、公分母:(a+b)(a-b),
a/(a+b)=a(a-b)/(a+b)(a-b),
b/(a-b)=b(a+b)/(a+b)(a-b);
4、公分母:(X+1)^2(X-1)^2,
1/(X^2+2X+1)=(X-1)^2/(X+1)^2(X-1)^2
1/(X^2-1)=(X+1)(X-1)/(X+1)^2(X-1)^2
1/(X^-2X+1)=(X+1)^2/(X+1)^2(X-1)^2;
5、公分母:3(a+3)(a-3)^2
2/(9-3a)=-6(a+3)(a-3)/3(a+3)(a-3)^2
1/(a^2-6a+9)=3(a+3)/3(a+3)(a-3)^2
2/3a^2-27=6(a-3)/3(a+3)(a-3)^2.