Ответ:

  1. \(\frac{3a+8}{a}=\frac{3a}{a}+\frac{8}{a}=3+\frac{8}{a}\).
  2. \(\frac{x^2-3x+1}{x}=\frac{x^2}{x}-\frac{3x}{x}+\frac{1}{x}=x-3+\frac{1}{x}\).
  3. \(\frac{x^2+2x-1}{x^2}=\frac{x^2}{x^2}+\frac{2x}{x^2}-\frac{1}{x^2}=1+\frac{2}{x}-\frac{1}{x^2}\).
  4. \(\frac{a^2+4a}{2a}=\frac{a^2}{2a}+\frac{4a}{2a}=\frac{a}{2}+2\).

Ответ: а) \(3+\frac{8}{a}\); б) \(x-3+\frac{1}{x}\); в) \(1+\frac{2}{x}-\frac{1}{x^2}\); г) \(\frac{a}{2}+2\).