Compute $0.97^{2}$ using $(a-b)^{2}$.

Compute $0.97^{2}$ using $(a-b)^{2}$.
  1. $0.9409$
  2. $0.9209$
  3. $0.9499$
  4. $0.9609$

Solution

$(1 - 0.03)^{2} = 1 - 0.06 + 0.0009 = 0.9409$.

Asked in: IMO

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