Question 83
If $x$ and $y$ are two positive numbers less than $1$, prove that
$$
\frac{1}{1-x^{2}} + \frac{1}{1-y^{2}} \geq \frac{2}{1-x y}
$$
$$
\frac{1}{1-x^{2}} + \frac{1}{1-y^{2}} \geq \frac{2}{1-x y}
$$
MathNet 2026 — Part 09 Question 83
Math Olympiad Vault · MathNet 2026 — Part 09