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Home » Red Rose Bouquets: The Red-Guarded Secret to Winning Any Heart’s Affection - Feedz API

Red Rose Bouquets: The Red-Guarded Secret to Winning Any Heart’s Affection - Feedz API

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 We aim to find $ g(x^2 - 2) $.

📌 Let’s define a substitution to help simplify. Let:

📌 u = x^2 + 2 \Rightarrow x^2 = u - 2

📌 x^4 = (x^2)^2 = (u - 2)^2 = u^2 - 4u + 4

📌 Substituting into the expression for $ g(u) $:

📌 g(u) = x^4 + 4x^2 + 5 = (u^2 - 4u + 4) + 4(u - 2) + 5

📌 g(u) = u^2 - 4u + 4 + 4u - 8 + 5 = u^2 + 1

📌 So, $ g(u) = u^2 + 1 $.

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