If $a + b = 12$ and $a - b = 2$, find $a^{2} - b^{2}$.

If $a + b = 12$ and $a - b = 2$, find $a^{2} - b^{2}$.
  1. $24$
  2. $14$
  3. $144$
  4. $140$

Solution

$a^{2} - b^{2} = (a+b)(a-b) = 12 \times 2 = 24$.

Asked in: IMO

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