Е: 1) 1/(a+b)² − 1/(a+b) =; 2) 1/(a−b) + 1/(a−b)³ =; 3) 1/(x−y) − 1/(x−y)² =; 4) 3/(n−m)² + 1/(n−m) =; 5) 2/(x+y) − a/(x+y)² =; 6) 5/(2a+b) − x/(2a+b)² =; 7) 1/(m−2n)² − 1/(m−2n)³ =; 8) 3/[2(x+y)] + b/(x+y)² =; 9) x/(a−b)² + 2/[5(a−b)] =; 10) b/(x−y)³ + 10/[3(x−y)²] =.

Приводим дроби к общему знаменателю:

1. \(\frac1{(a+b)^2}-\frac1{a+b}=\frac{1-(a+b)}{(a+b)^2}\).
2. \(\frac1{a-b}+\frac1{(a-b)^3}=\frac{(a-b)^2+1}{(a-b)^3}\).
3. \(\frac1{x-y}-\frac1{(x-y)^2}=\frac{x-y-1}{(x-y)^2}\).
4. \(\frac3{(n-m)^2}+\frac1{n-m}=\frac{3+n-m}{(n-m)^2}\).
5. \(\frac2{x+y}-\frac a{(x+y)^2}=\frac{2(x+y)-a}{(x+y)^2}\).
6. \(\frac5{2a+b}-\frac x{(2a+b)^2}=\frac{5(2a+b)-x}{(2a+b)^2}\).
7. \(\frac1{(m-2n)^2}-\frac1{(m-2n)^3}=\frac{m-2n-1}{(m-2n)^3}\).
8. \(\frac3{2(x+y)}+\frac b{(x+y)^2}=\frac{3(x+y)+2b}{2(x+y)^2}\).
9. \(\frac{x}{(a-b)^2}+\frac2{5(a-b)}=\frac{5x+2(a-b)}{5(a-b)^2}\).
10. \(\frac b{(x-y)^3}+\frac{10}{3(x-y)^2}=\frac{3b+10(x-y)}{3(x-y)^3}\).