Using identity $(x - a) (x + a) = x^{2} - a^{2}$ find $6^{2} - 5^{2}$ .

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Solution

As $x^{2} - a^{2} = (x + a) (x - a)$
Here x=6,a=5
$\Rightarrow 6^{2} - 5^{2} = (6 + 5) (6 - 5) = 11 \times 1 = 11$

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Using identity $(x - a) (x + a) =$ $x^{2} - a^{2}$ , find $6^{2} - 5^{2}$ .

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