Induction/2m+1 Product (2i-1)^2/Product 4k^2-1/Exercise

Fix ${}m\in \mathbb {N}$. Show, by induction, that the following identity holds.

${}(2m+1)\prod _{i=1}^{m}(2i-1)^{2}=\prod _{k=1}^{m}(4k^{2}-1)\,.$

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