$1^{3} + 2^{3} + 3^{3} + 4^{3}$ equals

$1^{3} + 2^{3} + 3^{3} + 4^{3}$ equals
  1. $100$
  2. $64$
  3. $125$
  4. $200$

Solution

$1 + 8 + 27 + 64 = 100 = (1+2+3+4)^{2}$.

Asked in: IMO

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