Question 153
If $x + y + x y = 1$, where $x, y$ are nonzero real numbers, find the value of
$$
x y + \frac{1}{x y} - \frac{y}{x} - \frac{x}{y}
$$
$$
x y + \frac{1}{x y} - \frac{y}{x} - \frac{x}{y}
$$
MathNet 2026 — Part 07 Question 153
Math Olympiad Vault · MathNet 2026 — Part 07