Question

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

Answer 1

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

Explanation:

`(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:
`= cancel(y+2)/(cancel((y+2))(y-2))`
`=color(red)( 1 / (y-2)`