# How do you know if 144a^2 -96a + 16 is a perfect square trinomial and how do you factor it?

##### 1 Answer
Jun 10, 2015

Yes, it is: $144 {a}^{2} - 96 a + 16 = 16 {\left(3 a - 1\right)}^{2}$

#### Explanation:

$144 {a}^{2} - 96 a + 16$
We can simplify by deviding all the cohefficients by 16:
$16 \left(9 {a}^{2} - 6 a + 1\right)$
Now we notice that the -6a could be a double product between -1 and 3a:
$16 {\left(3 a - 1\right)}^{2}$
So it is a perfect square trinomial.