Using the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ , find the values of the following:
$95 \times 103$

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Solution

$95 \times 103$
Using identity, $(x + a) (x + a) = x^{2} + (a + b) x + a b$
$\Rightarrow (100 - 5) (100 + 3) = {(100)}^{2} + (- 5 + 3) 100 - 5 \times 3$
$= 10000 - 200 - 15$
$= 9785$
Hence, the answer is $9785.$

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