Factorise: $x^{2} + 14 x + 45$

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Solution

$x^{2} + 14 x + 45$
$= x^{2} + 9 x + 5 x + 45$ [ Using middle term splitting method ]
$= (x^{2} + 9 x) + (5 x + 45)$
$= x (x + 9) + 5 (x + 9)$
$= (x + 9) (x + 5)$

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