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21-03-2017
Mathematics

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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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21-03-2017

(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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