Fibonacci's identity

Fibonacci's identity is a mathematical formula that shows how products of Fibonacci numbers can be expressed as sums of other Fibonacci numbers. Specifically, it states that the product of two Fibonacci numbers can be broken down into sums involving the Fibonacci numbers at certain positions. This reveals a fascinating interconnectedness within the Fibonacci sequence, demonstrating patterns and relationships that help us understand how Fibonacci numbers interact algebraically. Essentially, it’s a way of linking products and sums within the Fibonacci sequence, highlighting the sequence’s elegant structure.