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Expansion of (a ± b ± c)²

Factorize by ...

Question

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

A

(a - 1) (a - b)

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B

(a - 2) (a + b)

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C

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

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D

(a + 2) (a - b)

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Solution

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

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