problem 6 in python

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

自分の解答

sum1 = 0
sum2 = 0
for x in range(1,101):
    sum1 += x*x
for x in range(1,101):
    sum2 += x
    sum3 = sum2 * sum2
print sum1,sum3
print sum3 -sum1                

コードがひどすぎる。もっと上手にかきたいんだけど、思いつかない。付け焼刃みたい。

模範解答

total1=0 
total2=0 
for i in range(1, 101): 
 total1 =total1+(i**2) 
 total2 = total2+i 
print (total2**2)-total1