$(101)^{2} - (99)^{2}$ equals

$(101)^{2} - (99)^{2}$ equals
  1. $400$
  2. $200$
  3. $4$
  4. $100$

Solution

$(101 + 99)(101 - 99) = 200 \times 2 = 400$.

Asked in: IMO

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