Factorise using middle term splitting.x^2+9x+18=x^2+6x+3x+180ex0ex =x(x+6)+3(x+6)0ex0ex =(x+6)(x+3)Thus, x^2+9x+18=(x+6) ...

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Factorisation Using Algebraic Identities

x2+9x+18 fact...

Question

$x^{2} + 9 x + 18$ factorise.

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Solution

Factorise using middle term splitting.
$x^{2} + 9 x + 18 = x^{2} + 6 x + 3 x + 18 = x (x + 6) + 3 (x + 6) = (x + 6) (x + 3)$
Thus, $x^{2} + 9 x + 18 = (x + 6) (x + 3)$

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