Brahmagupta–Fibonacci identity
expression of a product of sums of squares as a sum of squares
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Summary
Brahmagupta–Fibonacci identity is a theorem[1].
Key Facts
- Instance of: identity[2]
- Named after: Brahmagupta[3], Fibonacci[4], Diophantus of Alexandria[5]
- Defining formula: \left(a^2 + b^2\right)\left(c^2 + d^2\right) {}= \left(ac-bd\right)^2 + \left(ad+bc\right)^2= \left(ac+bd\right)^2 + \left(ad-bc\right)^2[6]
- Studied by: number theory[7]
- Maintained by WikiProject: WikiProject Mathematics[8]