Using a suitable identity, Solve $36^{2} - 35^{2}$

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Solution

In the Identity $(x - a) (x + a) = x^{2} - a^{2}$

We Put, $x = 36$ and $a = 35$
$36^{2} - 35^{2}$ $= (36 - 35) (36 + 35)$
$= 1 \times 71 = 71$

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