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Home » From Misunderstood Green Beans to Culinary Stardom: The Haricot Verts Breakdown! - Carbonext

From Misunderstood Green Beans to Culinary Stardom: The Haricot Verts Breakdown! - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 5Question: Let $ g(x^2 + 2) = x^4 + 4x^2 + 5 $. Find $ g(x^2 - 2) $.

📌 g(x^2 + 2) = x^4 + 4x^2 + 5

📌 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

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