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Home » First train head start: \(60 \times 2 = 120\) km - Aurero

First train head start: \(60 \times 2 = 120\) km - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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First, compute $ (x + y)^3 $:
Next, we need $ xy $. Use the identity:
12^2 = 80 + 2xy \Rightarrow 144 = 80 + 2xy \Rightarrow 2xy = 64 \Right...
Now substitute into the expression for $ x^3 + y^3 $:
x^3 + y^3 = 1728 - 3(32)(12) = 1728 - 1152 = 576
Thus, the answer is $ \boxed{576} $.
Question: A geologist analyzing satellite data finds that the elevatio...
Solution: We are given $ a - b = 6 $ and $ a^2 + b^2 = 130 $.
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
We already have $ a - b = 6 $ and $ a^2 + b^2 = 130 $. We need $ ab $.

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