# How do you factor y= 36x^2+132x+121 ?

Jul 23, 2016

$y = \left(6 x + 11\right) \left(6 x + 11\right)$

#### Explanation:

There are many factor combinations, but it is significant that both 36 and 121 are perfect squares. Try those factors first.6

Write down factors and find the cross-product.

$\text{6 11} \Rightarrow 6 \times 11 = 66$
$\text{6 11" rArr 6xx11 = 66" } 66 + 66 = 132$

The signs are the same (because of +121)
They are both plus (because of +132)

$y = \left(6 x + 11\right) \left(6 x + 11\right)$