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texas ranger hall of fame and museum - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 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 $:

📌 Let $ u = x^2 $, then:

📌 u^2 + 8u + 80 = (u + 4)^2 + 64

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