Find $\dfrac{(2.31)^{2} - (1.69)^{2}}{2.31 - 1.69}$.

Find $\dfrac{(2.31)^{2} - (1.69)^{2}}{2.31 - 1.69}$.
  1. $4$
  2. $0.62$
  3. $2$
  4. $1$

Solution

Numerator $= (2.31-1.69)(2.31+1.69)$. Cancel $(2.31-1.69)$: result $= 2.31 + 1.69 = 4$.

Asked in: IMO

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