$a b^{2} + (a - 1) b - 1$

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Solution

$a b^{2} + (a - 1) b - 1$
$= a b^{2}$ + ab - b -1
$= a b^{2}$ -b + ab -1
= b(ab-1) + 1(ab-1)
= (b+1) (ab-1)

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