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Verify the identity: (a^2+b^2) (x^2+y^2) = (ax-by) ^2 + (bx+ay) ^2

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  1. 5 June, 12:53
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    (ax-by) ² + (bx+ay) ²

    a²x²-2axby+b²y²+b²x²+2axby+a²x²

    a²x²+b²x²+b²y²+a²x²

    (a²+b²) x² + (a²+b²) y²

    (a²+b²) (x²+y²)
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