[tex] \frac{ {x}^{3} - 1 }{ {x}^{2} - 1 } = \frac{(x - 1)( {x}^{2} + x + 1) }{(x - 1)(x + 1)} \\ [/tex]
( x - 1 )s simplifies
[tex] \frac{ {x}^{2} + x + 1 }{x + 1} \\ [/tex]
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Thus ; the expression doesn't simplify to x.
