Question
Factorize of the following expressions:
$ab - a - b + 1$

Answer

$ab - a - b + 1$
$= (ab - b) + (1 - a)$
$= b(a - 1) + (1 - a)$
$= b(a - 1) - (a - 1) [$since, $(1 - a) = -(a -1)]$
$= (a - 1)(b - 1) [$taking out the common factor $(a - 1)]$

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