Factorise the following. 18 + 11x + x - Vidyadip

Question

Factorise the following. $18 + 11x + x$

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Answer

$18 + 11x + x$
$= x^2+ 11x + 18$
$= x^2+ (9 + 2)x + 18$
$= x^2+ 9x + 2x + 18$
$= x(x + 9) + 2(x + 9)$
$= (x + 9)(x + 2)$

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