Question

factories the x ^8 - 216

Answer 1

x^8-2^8
(x^4-2^4)(X^4+2^4)
(X^2-2^2)(x^2+2^2)(x^4+2^4)
(x-2)(X+2){(x^2+2^2)}(x^4+2^4)

Answer 2

x^8 - 6^3

= (x^4 - 6^(3/2))(x^4 + 6^(3/2))

= (x^2 - 6^(3/4)) ((x^2 + 6^(3/4)) (x^4 + 6^(3/2))

=(x - 6^(3/8)) (x + 6^(3/8)) ((x^2 + 6^(3/4)) (x^4 + 6^(3/2))