Factorise:
$x^{2} - x - 12$

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Solution

$= x^{2} - x - 12$
$= x^{2} - 4 x + 3 x - 12$
$= x (x - 4) + 3 (x - 4)$
$= (x + 3) (x - 4)$

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(x^{2} + x)^{2} + 4 (x^{2} + x) - 12

x^{2} + x - 12

Factorise: $x^{2} + 12 x + 36$ .

x^{2} + 4 x - 12 = 0

x^{2} + 5 \sqrt{3} x + 12

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