SOLUTION: Can someone explain how to divide this problem? x + 3 -2x - 6 ___________ _ / ________ x^2 - 6x + 5 x2- 25 I didn't know how to put in a divisio

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone explain how to divide this problem? x + 3 -2x - 6 ___________ _ / ________ x^2 - 6x + 5 x2- 25 I didn't know how to put in a divisio      Log On


   

Question 127504: Can someone explain how to divide this problem?
x + 3 -2x - 6
_____________ / ________
x^2 - 6x + 5 x2- 25
I didn't know how to put in a division symbol so I put the / instead
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%2B3%29%2F%28x%5E2-6x%2B5%29%29%2F%28%28-2x-6%29%2F%28x%5E2-25%29%29 Start with the given expression

%28%28x%2B3%29%2F%28x%5E2-6x%2B5%29%29%2A%28%28x%5E2-25%29%2F%28-2x-6%29%29 Multiply the first fraction by the reciprocal of the second fraction


%28%28x%2B3%29%2F%28%28x-5%29%28x-1%29%29%29%28%28x%5E2-25%29%2F%28-2x-6%29%29 Factor x%5E2-6x%2B5 to get %28x-5%29%28x-1%29

%28%28x%2B3%29%2F%28%28x-5%29%28x-1%29%29%29%28%28%28x%2B5%29%28x-5%29%29%2F%28-2x-6%29%29 Factor x%5E2-25 to get %28x%2B5%29%28x-5%29

Factor -2x-6 to get -2%28x%2B3%29


%28x%2B3%29%28x%2B5%29%28x-5%29%2F%28x-5%29%28x-1%29%28-2%28x%2B3%29%29 Combine the fractions



Cancel like terms


%28x%2B5%29%2F%28-2%28x-1%29%29 Simplify



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Answer:

So %28%28x%2B3%29%2F%28x%5E2-6x%2B5%29%29%2F%28%28-2x-6%29%2F%28x%5E2-25%29%29 simplifies to %28x%2B5%29%2F%28-2%28x-1%29%29


In other words,