Question

x^12-1. factorize it

Answer 1

x^12 - 1

=( x^6 )^2 - (1)^2

=( x^6 - 1 ) (x^6 + 1 )

={ (x^3 )^2 - (1)^2 } { (x^6 + 1 )

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

={ x^3 - ( 1 )^3 } (x^3 + 1 ) ( x^6 + 1 )

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

【 hope I helpes 】