# How do you factor 49x^2 + 112x + 64?

Jan 4, 2016

${\left(7 x + 8\right)}^{2}$

#### Explanation:

This is a perfect square trinomial, which take the form

${\left(a + b\right)}^{2} = {a}^{2} + 2 a b + {b}^{2}$

Here, $a = 7 x$ and $b = 8$ since

${\left(7 x + 8\right)}^{2} = {\left(7 x\right)}^{2} + 2 \left(7 x\right) \left(8\right) + {8}^{2} = 49 {x}^{2} + 112 x + 64$