How do you use the difference of two cubes formula to factor ##x^6-y^3##?

##x^6 – y^3 = (x^2)^3 – y^3##
The Difference of Cubes Formula says
##color(blue)(a^3 – b^3 = (a-b)(a^2 +ab+b^2)##
Hence ##(x^2)^3 – y^3 = (x^2 – y)((x^2)^2 +x^2y +y^2)##
## =color(green)( (x^2 – y)(x^4 +x^2y + y^2)##