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Find f(x, y) if f(x + 2y, 2x + y) = 2xy....

Find f(x, y) if f(x + 2y, 2x + y) = 2xy.

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To solve the problem of finding \( f(x, y) \) given that \( f(x + 2y, 2x + y) = 2xy \), we can follow these steps: ### Step 1: Define New Variables Let: \[ a = x + 2y \quad \text{and} \quad b = 2x + y \] This allows us to express \( f(a, b) = 2xy \). ...
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