###### 1

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{6y}{y+2}+\frac{12}{y+2}} =}\)

###### 2

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{2y}{y+4}+\frac{8}{y+4}} =}\)

###### 3

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{5r}{r+5}+\frac{25}{r+5}} =}\)

###### 4

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{4r}{r+4}+\frac{16}{r+4}} =}\)

###### 5

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{2}{t^{2}-6t-7}-\frac{t-5}{t^{2}-6t-7}} =}\)

###### 6

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{5}{t^{2}-11t+18}-\frac{t-4}{t^{2}-11t+18}} =}\)

###### 7

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{4}{t^{2}-5t-6}-\frac{t-2}{t^{2}-5t-6}} =}\)

###### 8

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{4}{x^{2}-5x-14}-\frac{x-3}{x^{2}-5x-14}} =}\)

###### 9

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{3x}{4}+\frac{x}{12}} =}\)

###### 10

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{6y}{5}+\frac{y}{20}} =}\)

###### 11

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{5}{y-6}+\frac{3}{y+5}} =}\)

###### 12

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{4}{r-1}+\frac{1}{r+2}} =}\)

###### 13

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{3}{r+4}-\frac{4}{r+6}} =}\)

###### 14

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{3}{t-4}+\frac{2}{t+3}} =}\)

###### 15

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{1}{t-1}-\frac{2}{t^{2}-1}} =}\)

###### 16

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{1}{t+4}+\frac{8}{t^{2}-16}} =}\)

###### 17

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{1}{x-1}-\frac{2}{x^{2}-1}} =}\)

###### 18

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{1}{x+4}+\frac{8}{x^{2}-16}} =}\)

###### 19

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{3}{y+6}-\frac{6y}{y^{2}-36}} =}\)

###### 20

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{3}{y-5}-\frac{6y}{y^{2}-25}} =}\)

###### 21

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{2}{r-5}-\frac{4r}{r^{2}-25}} =}\)

###### 22

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{3}{r-4}-\frac{6r}{r^{2}-16}} =}\)

###### 23

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{t}{t-4}-\frac{7t-12}{t^{2}-4t}} =}\)

###### 24

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{t}{t+4}-\frac{4t+32}{t^{2}+4t}} =}\)

###### 25

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{t}{t-5}-\frac{3t+10}{t^{2}-5t}} =}\)

###### 26

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{x}{x-6}-\frac{10x-24}{x^{2}-6x}} =}\)

###### 27

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{-\frac{6}{x^{2}-1}-\frac{3}{x+1}-\frac{2}{x-1}} =}\)

###### 28

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{-\frac{4}{y^{2}-1}-\frac{3}{y+1}+\frac{2}{y-1}} =}\)

###### 29

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{-\frac{25y}{y^{2}-11y+24}+\frac{5y}{y-8}} =}\)

###### 30

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{-\frac{6r}{r^{2}-9r+18}+\frac{2r}{r-6}} =}\)

###### 31

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{-\frac{18r}{r^{2}+2r-8}-\frac{3r}{r+4}} =}\)

###### 32

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{-\frac{5t}{t^{2}+7t+12}-\frac{5t}{t+4}} =}\)

###### 33

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{t^{2}+5}{t^{2}-5t}-\frac{t-1}{t}} =}\)

###### 34

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{t^{2}-5}{t^{2}+t}-\frac{t-5}{t}} =}\)

###### 35

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{-\frac{1}{x-5}-2} =}\)

###### 36

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{-\frac{1}{x+1}+2} =}\)

###### 37

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{6y}{y+2}+\frac{y}{y-2}-7} =}\)

###### 38

Add or subtract the rational expressions to a single rational expression and then simplify. If applicable, state the restricted domain.

\(\displaystyle{{\frac{3y}{y+1}+\frac{y}{y-1}-4} =}\)