Question

FACTORIZA COMPLETAMENTE LA SIGUIENTE EXPRESION ALGEBRAICA.
1 - n6 =

Answer 1

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

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)