If $a + b = 5$, find $a^{3} + b^{3} + 3ab(a+b)$.

If $a + b = 5$, find $a^{3} + b^{3} + 3ab(a+b)$.
  1. $125$
  2. $25$
  3. $15$
  4. $0$

Solution

Equals $(a+b)^{3} = 5^{3} = 125$.

Asked in: IMO

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