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Home » These Great Movies Are Hidden Gems You Need Watch Today! - Appcentric

These Great Movies Are Hidden Gems You Need Watch Today! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Solution: Let us define a function $ f(u) $ such that

📌 f(x^2 + 2) = x^4 + 4x^2 + 3.

📌 We aim to find $ f(x^2 - 2) $.

📌 First, observe that the right-hand side can be expressed in terms of $ x^2 $:

📌 x^4 + 4x^2 + 3 = (x^2)^2 + 4x^2 + 3.

📌 Let $ u = x^2 + 2 $. Then $ x^2 = u - 2 $, and

📌 Substituting into the expression:

📌 x^4 + 4x^2 + 3 = (u^2 - 4u + 4) + 4(u - 2) + 3 = u^2 - 4u + 4 + 4u - 8 + 3 = u^2 - 1.

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