How do you factor #x^6 + 8#?
Now your expression becomes
You can express
Now you have a sum of two cubes, which you can factor according to the formula
So, your expression will become
This polynomial can be seen as a sum of cubes.
Remember the rule of factorize a sum of cubes:
generally the second factor can't be further factored, but this happens only if it is a square polynomial, but... this is a 4th degree polynomial, so:
and they can't be further factored.