Evaluate $103^{2} - 97^{2}$ using factorisation.

Evaluate $103^{2} - 97^{2}$ using factorisation.
  1. $1200$
  2. $1000$
  3. $600$
  4. $2400$

Solution

$103^{2} - 97^{2} = (103-97)(103+97) = 6 \times 200 = 1200$.

Asked in: IMO

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