SOLUTION: I messed up and made my 1st question non-understandable. My sincerest apologies. please Let me try again. I am having an issue with this problem. I am subtracting rational express

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I messed up and made my 1st question non-understandable. My sincerest apologies. please Let me try again. I am having an issue with this problem. I am subtracting rational express      Log On


   



Question 971897: I messed up and made my 1st question non-understandable. My sincerest apologies. please Let me try again. I am having an issue with this problem. I am subtracting rational expressions with the same denominators. Here is the problem:
(x-6)(x+3)/X^2-2x-15 minus 9(x-5)/x^2-2x-15
I have figured out that the denominator should be (x-5)(x+3) but I am having trouble with the numerator. could you help me?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The denominators are the same. The denominator should be whichever form you need it in as long as it is equivalent.

%28%28x-6%29%28x%2B3%29-9%28x-5%29%29%2F%28x%5E2-2x-15%29
and continue from that.

To finish, you might want to factorize numerator and denominator to reduce if possible; depending on what you need.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
I messed up and made my 1st question non-understandable. My sincerest apologies. please Let me try again. I am having an issue with this problem. I am subtracting rational expressions with the same denominators. Here is the problem:
(x-6)(x+3)/X^2-2x-15 minus 9(x-5)/x^2-2x-15
I have figured out that the denominator should be (x-5)(x+3) but I am having trouble with the numerator. could you help me?

%28%28x+-+6%29%28x+%2B+3%29+-+9%28x+-+5%29%29%2F%28x%5E2+-+2x+-+15%29
%28x%5E2+-+3x+-+18+-+9x+%2B+45%29%2F%28x%5E2+-+2x+-+15%29 ----- Distributing terms in numerator
highlight_green%28%28x%5E2+-+12x+%2B+27%29%2F%28x%5E2+-+2x+-+15%29%29 ---------- Combining like-terms
That's your answer!!