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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. 📰 We factor $2025 = 3^4 \cdot 5^2$, so the number of positive divisors is $(4+1)(2+1) = 15$. Each divisor pair $(a, b)$ corresponds to a solution, and since $a$ and $b$ must have the same parity, we count such pairs. 📰 Since $2025$ is odd, all its divisors are odd, so all pairs $(a, b)$ have the same parity. Thus, each of the 15 positive divisor pairs gives a solution. Including negative divisors (since $(-a)(-b) = 2025$), we double this count: 📰 Film Murphys Romance 6047495 📰 How Long Is Ramadan 2874129 📰 Glass Block Windows Transform Your Home With Spotlight Effects Hidden Privacy 4149164 📰 Heres How Fidelity Professional Boosts Your Work Successdont Miss These Pro Tips 2149575 📰 Shooting Church Charleston Sc 8490324 📰 Wbs Stock Price Alert Investors Are Rushing Inexactly Why This Surprise Hit Will Last 1994879 📰 Santa Clara Sunnyvale 2584375 📰 Unlock Free Parking Deals In Nycjust Download This Must Have App 2244828 📰 Www Roblox Come Develop 8871586 📰 How To Withdraw Email In Outlook 237469 📰 Aramark Building Philadelphia Pa 8697617 📰 You Wont Believe How 6 Monitors Transform Your Laptop Productivity 5150358 📰 Novo Nordisk News Today Breaking Updates You Cant Ignore 3683885 📰 Define All Points Bulletin 164181 📰 Hot Boobs That Blow Your Mindhot Boobs That Demand You Watch Again Again 9277796