Question

Evaluate the following product without multiplying directly:
$103\times 107$

Answer 1

$103\times 107$
$=(100+3)\times (100+7)$
Using, $(x+a)(x+b)=x^2+(a+b)x+ab$
$={100}^2+(7+3)100+7\times 3$
$=10000+1000+21$
$=11021$