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cast of n c i s los angeles - ECD Germany

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 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 $?

📌 Solution: First, evaluate $ g(2) $:

📌 g(2) = 3(2) - 1 = 6 - 1 = 5

📌 Now substitute into $ f(x) $:

📌 f(5) = 5^2 - 4(5) + 5 = 25 - 20 + 5 = 10

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Solution: We are given $ x + \frac{1}{x} = 4 $. Square both sides:
\left(x + \frac{1}{x}\right)^2 = 4^2 = 16
\Rightarrow x^2 + 2 + \frac{1}{x^2} = 16
\Rightarrow x^2 + \frac{1}{x^2} = 14
Now multiply both sides by 5:
5x^2 + \frac{5}{x^2} = 5 \times 14 = 70
Thus, the value is $ \boxed{70} $.
Question: Compute the square of $ \sqrt{7 + 2\sqrt{10}} + \sqrt{7 - 2\...
Solution: Let $ x = \sqrt{7 + 2\sqrt{10}} + \sqrt{7 - 2\sqrt{10}} $. W...
x^2 = \left( \sqrt{7 + 2\sqrt{10}} + \sqrt{7 - 2\sqrt{10}} \right)^2 =...

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