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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 = 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 $.

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