# What does  (x^2+4x+4) / (x+2)  equal?

Oct 23, 2015

(x+2)

#### Explanation:

Here,

${x}^{2}$ + 4x +4
= ${\left(x\right)}^{2}$ + 22x +${\left(2\right)}^{2}$
= ${\left(x + 2\right)}^{2}$
=(x+2)(x+2)

We replace this value in the question.
So
{(x+2)(x+2)}/((x+2)
We cancel one (x+2) in the numerator with the one in the denominator.

SO we have (x+2)