x2-25/x+2-3x-10

Question

Simplify this rational expression

Answer 1

I think the problem is:

 

(x²-25)/(x²-3x-10)

 

The numerator factors to (x+5)(x-5)

 

The denominator factors to (x+2)(x-5)

 

So the rational expression becomes:

 

(x+5)(x-5)/(x+2)(x-5)

 

The (x-5) terms cancel, so the final answer is:

 

(x+5)/(x+2),  x≠-2 or 5