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Home » f(u) = \fracu(1 + 9u)^2. - RTA

f(u) = \fracu(1 + 9u)^2. - RTA

📅 May 9, 2026 👤 scraface

May 09, 2026

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📌 Use distributive property (FOIL-like expansion):

📌 x^2(x^2 - 2x + 3) = x^4 - 2x^3 + 3x^2 \\

📌 2x(x^2 - 2x + 3) = 2x^3 - 4x^2 + 6x \\

📌 3(x^2 - 2x + 3) = 3x^2 - 6x + 9

📌 Now combine all terms:

📌 x^4 - 2x^3 + 3x^2 + 2x^3 - 4x^2 + 6x + 3x^2 - 6x + 9

📌 Combine like terms:

📌 x^4 + ( -2x^3 + 2x^3 ) + (3x^2 - 4x^2 + 3x^2) + (6x - 6x) + 9 = x^4 + 2x^2 + 9

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