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Home » نعوض $y = a - x$ في $y + z = a$: - Portal da AcÃºstica

نعوض $y = a - x$ في $y + z = a$: - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Now, substitute $ x^2 - 1 $ into $ g $:

📌 g(x^2 - 1) = (x^2 - 1)^2 + 1 = x^4 - 2x^2 + 1 + 1 = x^4 - 2x^2 + 2

📌 Thus, the answer is:

📌 \boxed{x^4 - 2x^2 + 2}

📌 Question: Find the remainder when $ u^3 + 2 $ is divided by $ u + 1 $.

📌 We use the **Remainder Theorem**:

📌 The remainder when a polynomial $ f(u) $ is divided by $ u - c $ is $ f(c) $.

📌 Here, divide $ f(u) = u^3 + 2 $ by $ u + 1 = u - (-1) $.

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