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Home » Brownstone Apartments Are So Trendy—Your Dream Home Could Be One of Them! - AMAZONAWS

Brownstone Apartments Are So Trendy—Your Dream Home Could Be One of Them! - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

Brownstone Apartments Are So Trendy—Your Dream Home Could Be One of Them!

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📌 Solution: The equation $x^2 - y^2 = 2025$ factors as $(x - y)(x + y) = 2025$. Since $x$ and $y$ are integers, both $x - y$ and $x + y$ must be integers. Let $a = x - y$ and $b = x + y$, so $ab = 2025$. Then $x = \frac{a + b}{2}$ and $y = \frac{b - a}{2}$. For $x$ and $y$ to be integers, $a + b$ and $b - a$ must both be even, so $a$ and $b$ must have the same parity.

📌 So GCD so far is $3$ — but we must check if $3$ is always a divisor.

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