SOLUTION: Please help! I am supposed to add or subtract as indicated and express the results in simplest form. (X^2)/(x- 3)- (9)/(x- 3)

Algebra ->  Expressions-with-variables -> SOLUTION: Please help! I am supposed to add or subtract as indicated and express the results in simplest form. (X^2)/(x- 3)- (9)/(x- 3)       Log On


   

Question 107260: Please help!
I am supposed to add or subtract as indicated and express the results in simplest form.


(X^2)/(x- 3)- (9)/(x- 3)
Answer by Annabelle1(69) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2F%28x-3%29-9%2F%28x-3%29
here we already have a common denominator so we can add these fractions.
This becomes
%28x%5E2-9%29%2F%28x-3%29
x%5E2-9 is a difference of 2 squares so it factorises to (x-3)(x+3)
we now have
%28%28x-3%29%28x%2B3%29%29%2F%28x-3%29
the x-3 cancels and we are left with
x+3