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Factorisation by Common Factors

Factorise : ...

Question

Factorise : $a^{2} - (b + 5) a + 5 b$

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Solution

$a^{2} - (b + 5) a + 5 b$
$\Rightarrow a^{2} - a b - 5 a + 5 b$
$\Rightarrow a (a - b) - 5 (a - b)$
$\Rightarrow (a - 5) (a - b)$ .

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