SOLUTION: Can you please tell me if this is figured right? Simplify: ( x/x^2 – 9 ) – ( x/x^2 + 2x – 15 ) (1 - 9) - (3x - 15) -8 - - 12 -8 + 12 = 4

Algebra ->  Exponents -> SOLUTION: Can you please tell me if this is figured right? Simplify: ( x/x^2 – 9 ) – ( x/x^2 + 2x – 15 ) (1 - 9) - (3x - 15) -8 - - 12 -8 + 12 = 4      Log On


   

Question 131150: Can you please tell me if this is figured right?
Simplify: ( x/x^2 – 9 ) – ( x/x^2 + 2x – 15 )
(1 - 9) - (3x - 15)
-8 - - 12
-8 + 12
= 4
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
( x/(x^2 – 9) ) – ( x/(x^2 + 2x – 15) )
=(x/((x+3)(x-3)))-(x/((x+5)(x-3)))
=(x(x+5))-(x(x+3))/((x+3)(x-3)(x+5))
=(x^2+5x)-(x^2+3x)/((x+3)(x-3)(x+5))
=2x/((x+3)(x-3)(x+5))
.
Ed