Вычислите: 1) \(\frac{x}{(a+b)^2}+\frac{1}{a+b}\); 2) \(\frac{1}{a-b}+\frac{1}{(a-b)^2}\); 3) \(\frac{1}{x-y}-\frac{1}{(x-y)^2}\); 4) \(\frac{3}{(n-m)^2}+\frac{1}{n-m}\); 5) \(\frac{2}{x+y}-\frac{a}{(x+y)^2}\); 6) \(\frac{5}{2a+b}-\frac{x}{(2a+b)^2}\); 7) \(\frac{1}{(m-2n)^2}-\frac{1}{(m-2n)^3}\); 8) \(\frac{3}{2(x+y)}+\frac{b}{(x+y)^2}\); 9) \(\frac{x}{(a-b)^2}+\frac{2}{5(a-b)}\); 10) \(\frac{b}{(x-y)^3}+\frac{10}{3(x-y)^2}\).

1. \(\frac{x}{(a+b)^2}+\frac{1}{a+b}=\frac{x+a+b}{(a+b)^2}\).
2. \(\frac{1}{a-b}+\frac{1}{(a-b)^2}=\frac{a-b+1}{(a-b)^2}\).
3. \(\frac{1}{x-y}-\frac{1}{(x-y)^2}=\frac{x-y-1}{(x-y)^2}\).
4. \(\frac{3}{(n-m)^2}+\frac{1}{n-m}=\frac{n-m+3}{(n-m)^2}\).
5. \(\frac{2}{x+y}-\frac{a}{(x+y)^2}=\frac{2x+2y-a}{(x+y)^2}\).
6. \(\frac{5}{2a+b}-\frac{x}{(2a+b)^2}=\frac{10a+5b-x}{(2a+b)^2}\).
7. \(\frac{1}{(m-2n)^2}-\frac{1}{(m-2n)^3}=\frac{m-2n-1}{(m-2n)^3}\).
8. \(\frac{3}{2(x+y)}+\frac{b}{(x+y)^2}=\frac{3x+3y+2b}{2(x+y)^2}\).
9. \(\frac{x}{(a-b)^2}+\frac{2}{5(a-b)}=\frac{5x+2a-2b}{5(a-b)^2}\).
10. \(\frac{b}{(x-y)^3}+\frac{10}{3(x-y)^2}=\frac{3b+10x-10y}{3(x-y)^3}\).

В каждом пункте выражения приведены к общему знаменателю.