Question
Evaluate the following:
$109 × 107$

Answer

Here, we will use the identity $(x + a)(x + b) = x^2+ (a + b)x + ab.$
$109 × 107$
$= (100 + 9)(100 + 7)$
$= 100^2+ (9 + 7)100 + 9 × 7$
$= 10000 + 1600 + 63$
$= 11663$

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