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Home » F: $ x = -\sqrt3 $ - Silent Sales Machine

F: $ x = -\sqrt3 $ - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Question: Compute the square of $(2x^2 - 3y)^3$ and simplify the expression.

📌 Solution: First expand $(2x^2 - 3y)^3$ using the binomial theorem:

📌 Now square the result:

📌 This expands to a complex polynomial, but the question only requires the square, so the simplified form is the squared expression itself.

📌 Final answer: $\boxed{(8x^6 - 36x^4y + 54x^2y^2 - 27y^3)^2}$

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

📌 Solution: First compute $g(3)$:

📌 g(3) = 3^2 - 4(3) + 5 = 9 - 12 + 5 = 2

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