Question

Factorise:36a^2+36a+9

Answer 1

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Answer 2

The factorisation of $36a^2+36a+9$ is $(6a+3)(6a+3).$

Step-by-step explanation:

We have,

$36a^2+36a+9$

To find, the factorisation of $36a^2+36a+9$= ?

∴ $36a^2+36a+9$

$=(6a)^2+2(6a)(3)+3^{2}$

$=(6a+3)^{2}$

[ ∵ $(a+b)^{2}=a^{2}+2ab+b^{2}$]

$=(6a+3)(6a+3)$

Hence, the factorisation of $36a^2+36a+9$ is $(6a+3)(6a+3).$