Simplify the rational expression

Question

((x-5)/(x²-25))-((3)/(x+5))

where A and B are polynomials of degree as low as possible and the leading coefficient of B is 1 

 

Answer 1

((x-5)/(x2-25)) = (x-5)/(x^2 - 5^2) = (x-5)/ (x-5)(x+5) = 1/(x+5)

 

 

Now the expression becomes

 

1/(x+5) - 3/(x+5) = (1-3)/(x+5) = -2/(x+5)

:)