# Difference Of Squares in F#

#### Find the difference between the square of the sum and the sum of the squares of the first N natural numbers.

1 | ```
exercism fetch fsharp difference-of-squares
``` |

# 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 allows you to succinctly create a range of values.
- List.sumBy 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

## Submitting Incomplete Solutions

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