(1-2x)³ / (x-1) (2x²+x-1)

[tex] \frac{ {(1 - 2x)}^{3} }{(x - 1)(2 {x}^{2} + x - 1)} \\ = \frac{(1 - 2x)^{3} }{(x - 1)(2x - 1)(x + 1)} \\ = \frac{(1 - 2x)^{2} }{ - (x - 1)(x + 1)} \\ = \frac{1 - 4x + 4 {x}^{2} }{ - ( {x}^{2} - 1)} \\ = \frac{1 - 4x - 4 {x}^{2} }{1 - {x}^{2} } [/tex]