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Home » $ (8-3)\binom83 = 5 \cdot 56 = 280 $ - jntua results

$ (8-3)\binom83 = 5 \cdot 56 = 280 $ - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \Rightarrow x^4 + rac{1}{x^4} = 47

📌 Thus, the value is $ oxed{47} $.

📌 Question: Expand the product $ (2a - 3b)(4a^2 + 6ab + 9b^2) $.

📌 Solution: We recognize that this is a sum of cubes pattern:

📌 Compute each cube:

📌 \Rightarrow (2a - 3b)(4a^2 + 6ab + 9b^2) = 8a^3 - 27b^3

📌 Thus, the expanded form is $ oxed{8a^3 - 27b^3} $.

📌 Question: What is $ f(g(2)) $ if $ f(x) = x^2 - 4x + 5 $ and $ g(x) = 3x - 1 $?

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