Question
Factorise the following, using the identity $a^2+ 2ab + b^2= (a + b)^2$
$x^2+ 2x + 1$

Answer

$x^2+ 2x + 1$
$= x^2+ 2 × 1 × x + 1^2$
$= (x + 1)^2$
$= (x + 1)(x + 1)$

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