carloseduardop2206 carloseduardop2206
  • 23-08-2021
  • Mathematics
contestada

FACTORIZA COMPLETAMENTE LA SIGUIENTE EXPRESION ALGEBRAICA.
1 - n6 =

Respuesta :

cwrw238 cwrw238
  • 23-08-2021

Answer:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1).

Step-by-step explanation:

1 - n^6 = (1 - n^3)(1 + n^3)

1 - n^3 = -(n -1)(n^2 + n + 1)  and

1 + n^3 = (n + 1)(n^2 - n + 1)

So Substituting we have:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1)

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