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# Difference Of Squares
Find the difference between the sum of the squares and the square of the sums of the first N natural numbers.
The square of the sum of the first ten natural numbers is,
(1 + 2 + ... + 10)**2 = 55**2 = 3025
The sum of the squares of the first ten natural numbers is,
1**2 + 2**2 + ... + 10**2 = 385
Hence the difference between the square of the sum of the first
ten natural numbers and the sum of the squares is 2640:
3025 - 385 = 2640
## Getting Started
Make sure you have read the [getting started with C++](http://help.exercism.io/getting-started-with-cpp.html)
page on the [exercism help site](http://help.exercism.io/). This covers
the basic information on setting up the development environment expected
by the exercises.
## Passing the Tests
Get the first test compiling, linking and passing by following the [three
rules of test-driven development](http://butunclebob.com/ArticleS.UncleBob.TheThreeRulesOfTdd).
Create just enough structure by declaring namespaces, functions, classes,
etc., to satisfy any compiler errors and get the test to fail. Then write
just enough code to get the test to pass. Once you've done that,
uncomment the next test by moving the following line past the next test.
```C++
#if defined(EXERCISM_RUN_ALL_TESTS)
```
This may result in compile errors as new constructs may be invoked that
you haven't yet declared or defined. Again, fix the compile errors minimally
to get a failing test, then change the code minimally to pass the test,
refactor your implementation for readability and expressiveness and then
go on to the next test.
Try to use standard C++11 facilities in preference to writing your own
low-level algorithms or facilities by hand. [CppReference](http://en.cppreference.com/)
is a wiki reference to the C++ language and standard library. If you
are new to C++, but have programmed in C, beware of
[C traps and pitfalls](http://www.slideshare.net/LegalizeAdulthood/c-traps-and-pitfalls-for-c-programmers).
## Source
Problem 6 at Project Euler [view source](http://projecteuler.net/problem=6)