1.3x/(x-3)²-x/3-x =3x/(x-3)²+x/(x-3)=3x/(x-3)²+(x²-3x)/(x-3)²=x²/(x-3)².
2.x²+xy/x-y÷xy/x-y =x(x+y)/x-y×(x-y)/xy=(x+y)/y.
3.(a/a-1-2/a-1)÷(1-1/a+1) =(a-2/a-1)×(a+1)/a=(a-2)(a+1)/a(a-1).
4.(b/a²-ab+a/b²-ab)÷a-b/ab=(b²-a²)/(a-b)²=(a+b)/(b-a).
1.3x/(x-3)²-x/3-x =3x/(x-3)²+x/(x-3)=3x/(x-3)²+(x²-3x)/(x-3)²=x²/(x-3)².
2.x²+xy/x-y÷xy/x-y =x(x+y)/x-y×(x-y)/xy=(x+y)/y.
3.(a/a-1-2/a-1)÷(1-1/a+1) =(a-2/a-1)×(a+1)/a=(a-2)(a+1)/a(a-1).
4.(b/a²-ab+a/b²-ab)÷a-b/ab=(b²-a²)/(a-b)²=(a+b)/(b-a).