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Factorisation Using Algebraic Identities

Factorize: ...

Question

Factorize: $x^{2} + 9 x + 18$

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Solution

The given expression $x^{2} + 9 x + 18$ can be factorized as follows:

$x^{2} + 9 x + 18$
$= x^{2} + 6 x + 3 x + 18$
$= x (x + 6) + 3 (x + 6)$
$= (x + 3) (x + 6)$

Hence, $x^{2} + 9 x + 18 = (x + 3) (x + 6)$

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