Question 316485
{{{y^6 - 1}}} is a difference of two squares
{{{(y^3 -1)(y^3+1)}}} which are now a difference of two cubes times a sum of two cubes
Use the formulas for diff/sum of two cubes to factor
http://www.purplemath.com/modules/specfact2.htm

See here for a result
http://www.wolframalpha.com/input/?i=y^6+-+1