# Difference Of Squares in Elm

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

1 | ```
exercism fetch elm 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.

## Elm Installation

Refer to the Exercism help page for Elm installation and learning resources.

## Writing the Code

The first time you start an exercise, you'll need to ensure you have the appropriate dependencies installed.

1 |
```
$ elm-package install --yes
``` |

Execute the tests with:

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```
$ elm-test
``` |

Automatically run tests again when you save changes:

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```
$ elm-test --watch
``` |

As you work your way through the test suite, be sure to remove the `skip <|`

calls from each test until you get them all passing!

## Source

Problem 6 at Project Euler 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.