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Home » Choose 2 positions for the two prime rolls: $ \binom42 = 6 $ - Abu Waleed Tea

Choose 2 positions for the two prime rolls: $ \binom42 = 6 $ - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 x^4 + 8x^2 + 16 = (x^2 + 4)^2

📌 -16y^4 + 64 = -16(y^4 - 4) = -16(y^2 - 2)(y^2 + 2)

📌 Letâs now expand and factor directly:

📌 x^4 + 8x^2 + 16 - 16y^4 + 64 = x^4 + 8x^2 + 80 - 16y^4

📌 Now factor $ x^4 + 8x^2 + 80 $:

📌 Try factoring as $ (x^2 + a)^2 + b $, or test rational root theorem. Letâs try factoring by grouping:

📌 x^4 + 8x^2 + 80 = x^2(x^2 + 8) + 80

📌 Not helpful. Try factoring as a quadratic in $ x^2 $:

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