The formula for the sum of a series of cubes is as follows:
13 + 23 + 33 + ... + n3 = [n2*(n+1)2]/4
You may notice that this is the same as the square of the sum 1 + 2 + 3 + ... + n.
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153 cubed is 3581577. And the sum of one number is itself.
a3 + b3
X3 + a3 = (X + a)(X2- aX + a2)Just a formula so that when you see an expression of any value that is additive cubes ( on the left ) then you can factor it. Works in any direction and some expressions can be manipulated into this form for factoring.
The sum of the first five prime numbers is 28. The sum of the cubes of the first three prime numbers is 160. The average of 28 and 160 is 94.
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