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Home » Netori Magic Unleashed: How This Genius Tool Transformed Millions Today! - 500apps

Netori Magic Unleashed: How This Genius Tool Transformed Millions Today! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 5^{12} = 5^8 \cdot 5^4 = 390625 \cdot 625.

📌 We compute $ 390625 \cdot 625 $:

📌 Break $ 625 = 600 + 25 $, so

📌 \cdot 600 = 390625 \cdot 6 \cdot 100 = (2,343,750) \cdot 100 = 234,375,000,

📌 \cdot 25 = (390625 \cdot 100)/4 = 39,062,500 / 4 = 9,765,625.

📌 Add: $ 234,375,000 + 9,765,625 = 244,140,625 $.

📌 So $ 5^{12} = 244,140,625 $, and

📌 5^{12} - 1 = 244,140,624.

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Given that $ a + b + c = 0 $, substitute into the identity:
a^3 + b^3 + c^3 - 3abc = 0 \cdot (a^2 + b^2 + c^2 - ab - bc - ca) = 0.
a^3 + b^3 + c^3 = 3abc.
This completes the proof.
oxed{a^3 + b^3 + c^3 = 3abc}
Question: Compute $ \sum_{k=1}^{50} rac{1}{k(k+2)} $.
Solution: We evaluate the sum:
\sum_{k=1}^{50} rac{1}{k(k+2)}.
We use partial fractions:
rac{1}{k(k+2)} = rac{A}{k} + rac{B}{k+2}.

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