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

2 Answers
May 19, 2018

2(x+2)^2

Explanation:

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

2(x^2+4x +4)

now factor:

2(x+2)(x+2)

finally:

2(x+2)^2

May 19, 2018

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

Explanation:

Given : 2x^2 + 8x + 8

=> 2 (x^2 + 4x + 4)

=> 2(x^2 + 2x + 2x + 4)

=>2 (x (x + 2) + 2 (x+ 2))

=> 2 * (x+2) * (x+2)

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