Question

Factor completely.

x^8 - 1/81

Please show a step-by-step/explanation on how you got your answer.

Answer 1

Explanation:

As before any expression of the form (a^2-b^2) will always factor to (a-b)(a+b) in this case

x^8-1/81 = (x^4-1/9)(x^4+1/9) = (x^2-1/3)(x^2+1/3)(x^4+1/9) and if we completely factor it including square roots.
`(x-√(1/3))(x+√(1/3))(x^2+1/3)(x^4+1/9)`

Answer 2

Answer: x(8) - /81

Explanation: