# How do you factor completely  2x^2 + 8x + 8?

May 19, 2018

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

#### Explanation:

$2 {x}^{2} + 8 x + 8$ has a GCF 2 so factor that out first

$2 \left({x}^{2} + 4 x + 4\right)$

now factor:

$2 \left(x + 2\right) \left(x + 2\right)$

finally:

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

May 19, 2018

color(indigo)(=> 2 * (x + 2)^2

#### Explanation:

Given : $2 {x}^{2} + 8 x + 8$

$\implies 2 \left({x}^{2} + 4 x + 4\right)$

$\implies 2 \left({x}^{2} + 2 x + 2 x + 4\right)$

$\implies 2 \left(x \left(x + 2\right) + 2 \left(x + 2\right)\right)$

$\implies 2 \cdot \left(x + 2\right) \cdot \left(x + 2\right)$

color(indigo)(=> 2 (x + 2)^2