How do you factor #x^9 - x^6 - x^3 + 1#?
Let's revise our power rules ( they will come in handy later ):
- Difference of squares rule:
- Difference of cubes rule:
- Sum of cubes rule:
Apply difference of squares rule to
Apply sum of cubes rule to
Apply difference of cubes rule to
Simplify like polynomials,
There you go.
P.S. I did not include the sum of squares rule because that rule dwells into imaginary numbers but if you are keen to know, here it is: