# How do you simplify (x^2+4x+4)/(x^2-4)?

Jul 10, 2016

The answer is $\frac{x + 2}{x - 2}$

#### Explanation:

First, you need to get the factors of the numerator and the denominator.

$\frac{{x}^{2} + 4 x + 4}{{x}^{2} - 4}$

$\frac{\left(x + 2\right) \left(x + 2\right)}{\left(x + 2\right) \left(x - 2\right)}$

Since x+2 is divisible by x+2, they will be cancelled.

And the answer is: $\frac{x + 2}{x - 2}$