Factorise
$x^{2} - 9 x + 20$

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Solution

$x^{2} - 9 x + 20$
$= (x^{2} - 5 x - 4 x + 20)$ [Since, $- 5 x - 4 x = - 9 x, (- 5 x) (- 4 x) = 20 x^{2}$ ]
$= x (x - 5) - 4 (x - 5)$
$= (x - 4) (x - 5)$ .
$∴ x^{2} - 9 x + 20 = (x - 4) (x - 5)$ .

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