Factoring $2 + \frac{4}{2Z + 1} - \frac{3}{Z} + \frac{Z}{2Z^2 - Z}$

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How to factor below expression please? $$2 + \frac{4}{2Z + 1} - \frac{3}{Z} + \frac{Z}{2Z^2 - Z}$$

What I got is $$\frac{8Z^3 - 2Z^2 - 5Z + 3}{Z(4Z^2 - 1)}$$ but I was told the answer doesn't look like that. Not sure if it can further simplified.