# Difference Of Squares in Racket

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

1 | ```
exercism fetch racket 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.

For installation and learning resources, refer to the exercism Racket page.

You can run the provided tests through DrRacket, or via the command line.

To run the test through DrRacket, simply open the test file and click the 'Run' button in the upper right.

To run the test from the command line, run the test from the exercise directory with the following command:

1 |
```
raco test difference-of-squares-test.rkt
``` |

which will display the following:

1 2 3 4 |
raco test: (submod "difference-of-squares-test.rkt" test) 2 success(es) 0 failure(s) 0 error(s) 2 test(s) run 0 2 tests passed |

## Source

Problem 6 at Project Euler http://projecteuler.net/problem=6

## Submitting Incomplete Solutions

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