Question
Factorise the following, using the identity $a^2+2 a b+b^2=(a+b)^2$
$\frac{\text{x}^2}{4}+2\text{x}+4$

Answer

$\frac{\text{x}^2}{4}+2\text{x}+4$$=\Big(\frac{\text{x}}{2}\Big)^2+2\times\frac{\text{x}}{2}\times2+2^2$
$=\Big(\frac{\text{x}}{2}+2\Big)^2$
$=\Big(\frac{\text{x}}{2}+2\Big)\Big(\frac{\text{x}}{2}+2\Big)$

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