$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$

$x+\frac{1}{x+1}+\frac{5}{x^2-2x+1}$

$x+\frac{1}{{\displaystyle 3\left(x+1\right)}}-\frac{x+1}{{\displaystyle 3x^2-x+1}}$

$\frac{1}{{\displaystyle 2x+5}}+\frac{3}{x^2+11}$

$x+\frac{5}{{\displaystyle x+1}}+\frac{9x}{x^2+3x+5}$

$\frac{11}{{\displaystyle 2x+1}}+\frac{9x}{x^2+5}$