F.2 maths factorization

a^6k^6-1
= (ak)^6 - 1
= (a^3 k^3)^2 - 1^2
= (a^3 k^3 - 1)(a^3 k^3 + 1)
= [ ( ak-1 )( a^2k^2 + ak + 1 ) ][ ( ak+1 )( a^2k^2 - ak + 1 ) ]