6.py

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# The sum of the squares of the first ten natural numbers is,                                                                          #
# 12 + 22 + ... + 102 = 385                                                                                                            #
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# The square of the sum of the first ten natural numbers is,                                                                           #
# (1 + 2 + ... + 10)2 = 552 = 3025                                                                                                     #
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# 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. #
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# Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.               #
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import math

sum_of_sq = 100*101*201/6
sq_of_sum = 100*101*100*101/4

print(sq_of_sum - sum_of_sq)