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Home » Expand left: \( 2a + dn - d = dn + (2a - d) \) - Esdistancia

Expand left: \( 2a + dn - d = dn + (2a - d) \) - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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🔥 Popular Posts

= 3^4 \cdot 5^2
The number of positive divisors is $ (4+1)(2+1) = 15 $, so there are 1...
But we only count pairs where $ a $ and $ b $ have the same parity. Si...
However, each solution $ (x, y) $ corresponds to a unique pair $ (a, b...
For example:
If $ a = 1, b = 2025 $, then $ x = 1013, y = 1012 $
If $ a = 2025, b = 1 $, then $ x = 1013, y = -1012 $
These are distinct points.
Thus, all 30 factor pairs produce valid lattice points.
Hence, the total number of lattice points is $ \boxed{30} $.

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