Question
Factorise:
$x^2-5 x-24$

Answer

$x^2-5 x-24$
$=x^2-8 x+3 x-24$
$\{-24=-8 \times 3,-5=-8+3\}$
$=x(x-8)+3(x-8)$
$=(x-8)(x+3)$

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