Find the factors of $a^{2} - 2 a + a b - 2 b$ .

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Solution

to find factors of $a^{2} - 2 a + a b - 2 b$
$\Rightarrow a^{2} - 2 a + a b - 2 b$
$\Rightarrow a (a - 2) + b (a - 2)$
$\Rightarrow (a - 2) (a + b)$
The factors of $a^{2} - 2 a + a b - 2 b$ is $(a - 2) (a + b)$

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