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Home » $ 5a \cdot 2a = 10a^2 $, - Veritas Home Health

$ 5a \cdot 2a = 10a^2 $, - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Equality occurs when $ a = b = c = rac{1}{3} $. Thus, the minimum value is:

📌 Question: Let $ h(x) $ be a polynomial such that $ h(x^3 + 1) = x^6 + 3x^3 + 3 $. Find $ h(x^3 - 1) $.

📌 Solution: Observe that the right-hand side is $ (x^3 + 1)^2 + 2 $. However, we can directly write:

📌 h(x^3 + 1) = (x^3 + 1)^2 + 2 \Rightarrow h(u) = u^2 + 2

📌 Then, substitute $ u = x^3 - 1 $:

📌 h(x^3 - 1) = (x^3 - 1)^2 + 2 = x^6 - 2x^3 + 1 + 2 = x^6 - 2x^3 + 3

📌 oxed{x^6 - 2x^3 + 3}

📌 Question: Find the remainder when $ (x^2 + x + 1)^3 $ is divided by $ x^2 - x + 1 $.

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\[ \theta \text{ (弧度)} = \frac{60^\circ \times \pi}{180^\circ} = \fr...
\[ \text{弧长 } = 10 \times \frac{\pi}{3} = \frac{10\pi}{3} \text{ cm}...
#### \( \frac{10\pi}{3} \) cm or approximately 10.47 cm
一名投资者购入股票1000美元。在一年后，股票价格上涨25%，但投资者在价格...
设初始持股价格为 \( p \) 美元，买入数量为：
\[ \frac{1000}{p} \text{ shares} \]
\[ p \times 1.25 \]
随后第二天下跌20%，新售价为：
\[ 1.25p \times 0.8 = p \]
卖出部分股票后，剩余价值为800美元，意味着剩余股票数量为：

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