The denominator of the given rational expression is \(x^3 - 1\). This is a difference of cubes, which can be factored using the formula \(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\). Here, \(a = x\) and \(b = 1\). Therefore, the factorization is:
\[
x^3 - 1 = (x -
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