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= 60\pi + 36\pi = 96\pi - Sourci

📅 April 29, 2026 👤 scraface

Apr 29, 2026

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S = \left(1 + \frac{2y}{x - y}\right) + \left(1 + \frac{2z}{y - z}\rig...
= 1 + \frac{2y}{x - y} + \frac{2z}{y - z} - \frac{2z}{x - z}
Grouping:
S = 1 + 2\left( \frac{y}{x - y} + \frac{z}{y - z} - \frac{z}{x - z} \r...
We now try a substitution to simplify. Let \( a = x - y > 0 \), \( b =...
x = z + b + a, \quad y = z + b
Now express each term:
\( \frac{y}{x - y} = \frac{b + z}{a} \)
\( \frac{z}{y - z} = \frac{z}{b} \)
\( \frac{z}{x - z} = \frac{z}{a + b} \)

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