# How do you simplify #(x+5 )/ (x^2-25)#?

##### 2 Answers

Jun 22, 2018

#### Explanation:

#x^2-25" is a "color(blue)"difference of squares"#

#a^2-b^2=(a-b)(a+b)#

#x^2-25=x^2-5^2=(x-5)(x+5)#

#(cancel((x+5)))/(cancel((x+5))(x-5))=1/(x-5)#

#"with restriction "x!=5#

Jun 22, 2018

#### Explanation:

The key realization is that our denominator fits the **difference of squares** pattern

We can rewrite

The

Hope this helps!