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Factorisation by Common Factors

Factorise: ...

Question

Factorise: $x^{2} + 7 x - 18$

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Solution

$x^{2} + 7 x - 18$
$= x^{2} - 2 x + 9 x - 18$
$= x (x - 2) + 9 (x - 2)$
$= (x - 2) (x + 9)$
$∴ x^{2} + 7 x - 18 = (x - 2) (x + 9)$

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