The sum of the squares of the first ten natural numbers is, 1

^{2}+ 2^{2}+ … + 10^{2}= 385.The square of the sum of the first ten natural numbers is, (1 + 2 + … + 10)

^{2}= 55^{2}= 3025.Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640.

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.

This one oddly seems relatively simple. simply take a number, work out the sum of 1 to that number then square it, work out the sum of the squares of 1 to that number and find the difference between your 2 results. Job done!