Respuesta :

Answer:

  • x² + x + 1 + 2/(x - 1)

Step-by-step explanation:

  • (x³ + 1) / (x - 1) =
  • (x³ - 1 + 2) / (x - 1) =
  • (x³ - 1)/(x - 1) + 2/(x - 1) =
  • (x - 1)(x² + x + 1)/(x - 1) + 2/(x - 1) =
  • x² + x + 1 + 2/(x - 1)