Use the identity to compute $103^{2}$.

Use the identity to compute $103^{2}$.
  1. $10609$
  2. $10309$
  3. $10906$
  4. $10619$

Solution

$103^{2} = (100+3)^{2} = 100^{2} + 2(100)(3) + 3^{2} = 10000 + 600 + 9 = 10609$.

Asked in: IMO

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