SOLUTION: Tutor, Good evening. I have a question for you tonight. I have to add or subtract as indicated, and expess the result in simplest form. The question is: x^2/x-3 - 9/x-3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Tutor, Good evening. I have a question for you tonight. I have to add or subtract as indicated, and expess the result in simplest form. The question is: x^2/x-3 - 9/x-3      Log On


   

Question 97391: Tutor,
Good evening. I have a question for you tonight. I have to add or subtract as indicated, and expess the result in simplest form. The question is:
x^2/x-3 - 9/x-3
I think the answer is x + 3 but I think I am missing a step because I can not seem to get the problem to come out could you please help me to find my error? Thank you for your help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2F%28x-3%29+-+9%2F%28x-3%29 Start with the given expression


%28x%5E2-9%29%2F%28x-3%29 Combine the fractions. We can do this since both fractions have a common denominator x-3


%28x-3%29%28x%2B3%29%2F%28x-3%29 Factor x%5E2-9 to %28x-3%29%28x%2B3%29


cross%28%28x-3%29%29%28x%2B3%29%2Fcross%28%28x-3%29%29 Cancel like terms


x%2B3 Simplify