Respuesta :

To solve this problem you must apply the proccedure shown below:

1. You have the following quadratic equation given in the problem above:

[tex] 36a^{2} - 24a + 4 [/tex]

2. You must factor out the greatest common factor, which is: [tex] 4 [/tex]:

[tex] 4(9a^{2} -6a+1) [/tex]

3. It has the form of a Perfect square trinomial [tex] a^{2} -2ab+b^{2} [/tex] then, you can write it as [tex] (a-b)^{2} [/tex] , where [tex] a=3a; b=1 [/tex].

4. Therefore, you have that the answer is:

[tex] 4(3a-1)^{2} [/tex]

The final answer is 4(3a-1)^{2}