Question

Разложите на множители х^6-1

Answer 1

$x^6-1 =(x^3)^2 -1=(x^3-1)(x^3+1)=\\=(x-1)(x^2+x+1)(x+1)(x^2-x+1)$

Answer 2

$(x^2)^3-1=(x^2-1)(x^4+x^2+1)=(x-1)(x+1)(x^4+x^2+1)$