SOLUTION: HI I would like to know if someone can help me understand the steps for this problem. The problem is: x 5 6 -------- + ------ - ------ x^2 -25

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Question 673943: HI I would like to know if someone can help me understand the steps for this problem.
The problem is:
x 5 6
-------- + ------ - ------
x^2 -25 x+5 x
If someone could show me how to work this problem I would greatly appreciate it, thanks :)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The problem is:
x 5 6
-------- + ------ - ------
x^2 -25 x+5 x
:
Assume it is
x%2F%28%28x%5E2-25%29%29 + 5%2F%28%28x%2B5%29%29 - 6%2Fx
Factor the 1st denominator as the "difference of squares
x%2F%28%28x-5%29%28x%2B5%29%29 + 5%2F%28%28x%2B5%29%29 - 6%2Fx
the common denominator: x(x+5)(x-5)
%28x%28x%29+%2B+5x%28x-5%29+-+6%28x-5%29%28x%2B5%29%29%2F%28x%28x%2B5%29%28x-5%29%29 = %28x%5E2+%2B+5x%5E2+-+25x+-+6%28x%5E2-25%29%29%2F%28x%28x%2B5%29%28x-5%29%29 = %286x%5E2+-+25x+-+6x%5E2+%2B150%29%2F%28x%28x%2B5%29%28x-5%29%29 =
%28-25x%2B150%29%2F%28x%28x%2B5%29%28x-5%29%29 = -%2825%28x-6%29%29%2F%28x%28x-5%29%28x%2B5%29%29