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How To Really Solve This Tricky Algebra Problem? (V)

Can you solve this challenge in under one minute?

How To Really Solve This Tricky Algebra Problem? (V) — (x²/y²) + (y²/x²) = 287; [(x/y) + (y/x)]³ = ??; x not equal to zero; y not equal to zero
Image created by the author

Welcome to the fifth entry in the tricky algebra problem series. Over the past couple of iterations, the difficulty level has been steadily rising. So, this time around, I wanted to make things a little beginner friendly and lower the difficulty level.

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