Evaluate $\dfrac{(0.87)^{2} - (0.13)^{2}}{0.87 - 0.13}$.

Evaluate $\dfrac{(0.87)^{2} - (0.13)^{2}}{0.87 - 0.13}$.
  1. $1$
  2. $0.74$
  3. $0.13$
  4. $0.87$

Solution

Numerator $=(0.87-0.13)(0.87+0.13)= 0.74 \times 1$. Dividing by $0.87-0.13=0.74$ gives $1$.

Asked in: IMO

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