SOLUTION: x+3 x ---------- x --------- x^3-x^2-6x x^2-9

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x+3 x ---------- x --------- x^3-x^2-6x x^2-9      Log On


   

Question 144452: x+3 x
---------- x ---------
x^3-x^2-6x x^2-9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%2B3%29%2F%28x%5E3-x%5E2-6x%29%29%28%28x%29%2F%28x%5E2-9%29%29 Start with the given expression

%28%28x%2B3%29%2F%28x%28x-3%29%28x%2B2%29%29%29%28%28x%29%2F%28x%5E2-9%29%29 Factor x%5E3-x%5E2-6x to get x%28x-3%29%28x%2B2%29

%28%28x%2B3%29%2F%28x%28x-3%29%28x%2B2%29%29%29%28%28x%29%2F%28%28x%2B3%29%28x-3%29%29%29 Factor x%5E2-9 to get %28x%2B3%29%28x-3%29


%28x%2B3%29%28x%29%2F%28x%28x-3%29%28x%2B2%29%28x%2B3%29%28x-3%29%29 Combine the fractions


Cancel like terms


1%2F%28%28x-3%29%28x%2B2%29%28x-3%29%29 Simplify


1%2F%28%28x-3%29%5E2%28x%2B2%29%29 Multiply


So %28%28x%2B3%29%2F%28x%5E3-x%5E2-6x%29%29%28%28x%29%2F%28x%5E2-9%29%29 simplifies to 1%2F%28%28x-3%29%5E2%28x%2B2%29%29