Factorize $a^{2} + b - a b - a$ by the grouping method

(a - 1) (a + b)

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(a - 1) (a - b)

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(a + 1) (2 a + b)

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(2 a + 1) (a - 2 b)

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Solution

The correct option is B $(a - 1) (a - b)$
$a^{2} + b - a b - a$
$= a^{2} - a - a b + b$
$= a (a - 1) - b (a - 1)$
$= (a - 1) (a - b)$

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