Just now one of the great maths based pages I follow shared this:
So naturally I figured I would have a go. I thoughts just get stuck in with the algebra and see what happens, normally a good approach to these things.
My first thought was that if I use 2n – 3, 2n -1, 2n + 1 and 2n +3 then tgere would be less to simplify later. I know that (2n + 1)(2n – 1) = 4n^2 – 1 and (2n – 3)(2n + 3) = 4n^2 – 9 so I multiples these together.
(4n^2 – 1)(4n^2 -9) = 16n^4 – 40n^2 + 9
I thought the best next move would be to complete the square:
(4n^2 – 5)^2 – 16
This shows me that the product of…
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