Factorise: 36 a^2+36 a+9 - Vidyadip

Question

Factorise: $36 a^2+36 a+9$

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Answer

$36 a^2+36 a+9$
$=9\left[4 a^2+4 a+1\right]$
$=9\left[(2 a)^2+2 \times 2 a x+(1)^2\right]$
$=9[2 a+1]^2$

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