SOLUTION: Can you please help me? here's the equation: {{{3x-5 over x^2-25 - 2 over x+5}}} the teacher gave us answer and the answer is supposedly: 1 over x-5 i don't understand wher

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Can you please help me? here's the equation: {{{3x-5 over x^2-25 - 2 over x+5}}} the teacher gave us answer and the answer is supposedly: 1 over x-5 i don't understand wher      Log On


   

Question 279569: Can you please help me? here's the equation:
3x-5+over+x%5E2-25+-+2+over+x%2B5
the teacher gave us answer and the answer is supposedly:
1 over x-5
i don't understand where the 1 comes from and where the x+5 goes.
so far I've factored the bottom out but thats as far as i can get and he didnt explain.
Found 2 solutions by richwmiller, Alan3354:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
check your input!
x^2-25-2 ???
or x^2-25x-2 ??
or ??

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
3x-5+over+x%5E2-25+-+2+over+x%2B5
%283x-5%29%2F%28x%5E2-25%29+-+2%2F%28x%2B5%29
Common DEN = x^2 - 25 = (x-5)*(x+5)
---------------------------
= %283x-5%29%2F%28x%5E2-25%29+-+2%2A%28x-5%29%2F%28x%5E2-25%29
= %28%283x-5%29+-+2%2A%28x-5%29%29%2F%28x%5E2-25%29
= %283x-5+-+2x%2B10%29%2F%28x%5E2-25%29
= %28x%2B5%29%2F%28x%5E2-25%29
= %28x%2B5%29%2F%28%28x-5%29%2A%28x%2B5%29%29
= 1/(x-5)