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!