If $a + b = 10$ and $a - b = 4$, find $a^{2} - b^{2}$.

If $a + b = 10$ and $a - b = 4$, find $a^{2} - b^{2}$.
  1. $40$
  2. $24$
  3. $60$
  4. $14$

Solution

$a^{2} - b^{2} = (a + b)(a - b) = 10 \times 4 = 40$.

Asked in: IMO

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