$(105)^{2}$ equals

$(105)^{2}$ equals
  1. $11025$
  2. $10025$
  3. $11005$
  4. $10500$

Solution

$(100+5)^{2} = 100^{2} + 2 \cdot 100 \cdot 5 + 5^{2} = 10000 + 1000 + 25 = 11025$.

Asked in: IMO

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