explain all steps
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Difference of two squares
(x^4 + 1)(x^4 - 1)
(x^4 + 1)(x^2 + 1)(x^2 - 1)
(x^4 + 1)(x^2 + 1)(x + 1)(x - 1)
(x^4 + 1)(x^4 - 1)
(x^4 + 1)(x^2 + 1)(x^2 - 1)
(x^4 + 1)(x^2 + 1)(x + 1)(x - 1)
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x^8 - 1 = (x^4+1)(x^2+1)(x+1)(x-1)