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# Difference Of Squares Find the difference between the square of the sum and the sum of the squares of the first N natural numbers. The square of the sum of the first ten natural numbers is (1 + 2 + ... + 10)² = 55² = 3025. The sum of the squares of the first ten natural numbers is 1² + 2² + ... + 10² = 385. Hence the difference between the square of the sum of the first ten natural numbers and the sum of the squares of the first ten natural numbers is 3025 - 385 = 2640. ## Hints For this exercise the following F# features come in handy: - The [range operator](https://msdn.microsoft.com/en-us/visualfsharpdocs/conceptual/operators.%5B-..-%5D%5B%5Et%5D-function-%5Bfsharp%5D) allows you to succinctly create a range of values. - [List.sumBy](https://msdn.microsoft.com/en-us/visualfsharpdocs/conceptual/list.sumby%5B't,%5Eu%5D-function-%5Bfsharp%5D) is a condensed format to apply a function to a list and then sum the results. ## Source Problem 6 at Project Euler [http://projecteuler.net/problem=6](http://projecteuler.net/problem=6) ## Submitting Incomplete Solutions It's possible to submit an incomplete solution so you can see how others have completed the exercise.
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