Try this GRE math practice question that tests your ability to simplify algebraic fractions.

**Question#73**: If $x > 0$, $y > 0$, and $xy \neq 1$, $\quad$ $x \ – \ \dfrac{1}{\dfrac{1}{x}-y}=$

- $\quad \dfrac{xy}{1-xy}$
- $\quad \dfrac{x^2 y}{xy-1}$
- $\quad \dfrac{x^2 – xy – 1}{x}$
- $\quad \dfrac{x-x^2y-1}{1-xy}$
- $\quad \dfrac{x^2 y – 2x}{xy-1}$

**Video explanation**

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