Question
Factorise the following, using the identity $a^2+ 2ab + b^2= (a + b)^2$
$x^2+ 6x + 9$

Answer

$x^2+ 6x + 9$
$= x^2+ 2 × 3 × x + 3^2$
$= (x + 3)^2$
$= (x + 3)(x + 3)$

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