SOLUTION: x + 1 + 1 - x2-2 ----- --- -------- x+2 x-3 x2-x-6 The x2 is x squared. This question is in a fraction form. I know i need to find an LCD but I do not know what it is.

Algebra ->  Radicals -> SOLUTION: x + 1 + 1 - x2-2 ----- --- -------- x+2 x-3 x2-x-6 The x2 is x squared. This question is in a fraction form. I know i need to find an LCD but I do not know what it is.      Log On


   

Question 191386This question is from textbook Intermediate Algebra
: x + 1 + 1 - x2-2
----- --- --------
x+2 x-3 x2-x-6
The x2 is x squared. This question is in a fraction form. I know i need to find an LCD but I do not know what it is. Please help! I need step by step instructions to solve this This question is from textbook Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B1%29%2F%28x%2B2%29%2B1%2F%28x-3%29-%28x%5E2-2%29%2F%28x%5E2-x-6%29 Start with the given expression.


%28x%2B1%29%2F%28x%2B2%29%2B1%2F%28x-3%29-%28x%5E2-2%29%2F%28%28x%2B2%29%28x-3%29%29 Factor the last denominator


Take note that the LCD is %28x%2B2%29%28x-3%29


Multiply the first fraction by %28x-3%29%2F%28x-3%29 (to get this denominator equal to the LCD)


FOIL


Multiply the second fraction by %28x%2B2%29%2F%28x%2B2%29 (to get this denominator equal to the LCD)


Distribute


Now that the denominators are all equal, we can combine the fractions


%28x%5E2-2x-3%2B%28x%2B2%29-%28x%5E2-2%29%29%2F%28%28x%2B2%29%28x-3%29%29 Combine the fractions


%28x%5E2-2x-3%2Bx%2B2-x%5E2%2B2%29%2F%28%28x%2B2%29%28x-3%29%29 Distribute


%28-x%2B1%29%2F%28%28x%2B2%29%28x-3%29%29 Combine like terms.


%28-x%2B1%29%2F%28x%5E2-x-6%29 FOIL the denominator


So where x%3C%3E-2 or x%3C%3E3