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

Jun 22, 2015

 =color(red)( 1 / (y-2)

#### Explanation:

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

By property :
color(red)( a^2 - b^2 = (a+b)(a-b)

Applying this to the denominator
 y^2 - 4 =color(red)( y^2 - 2^2 = (y+2)(y-2)

The expression becomes:
$= \frac{\cancel{y + 2}}{\cancel{\left(y + 2\right)} \left(y - 2\right)}$
 =color(red)( 1 / (y-2)