SOLUTION: Simplify a)(2x)/ (x+3) - (5x)/ (x^2+x-6) + (x)/(x-2) - (3x)/(x+3) Can you please help me out? Thanks so much in advance:)

Algebra ->  Test -> SOLUTION: Simplify a)(2x)/ (x+3) - (5x)/ (x^2+x-6) + (x)/(x-2) - (3x)/(x+3) Can you please help me out? Thanks so much in advance:)      Log On


   

Question 872804: Simplify
a)(2x)/ (x+3) - (5x)/ (x^2+x-6) + (x)/(x-2) - (3x)/(x+3)
Can you please help me out? Thanks so much in advance:)
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
The denominator of the second rational expression is (x-2)(x+3). The first step next is just as you would do for ordinary base ten numbers; bring all expressions to higher terms to use the lowest common denominator. Same denominator as the second expression.

%28%282x%29%28x-2%29-%285x%29%2B%283x%29%28x-2%29%29%2F%28%28x-2%29%28x%2B3%29%29

%282x%5E2-4x-5x%2B3x%5E2-6x%29%2F%28%28x-2%29%28x%2B3%29%29
highlight%28%285x%5E2-15x%29%2F%28%28x-2%29%28x%2B3%29%29%29
5x%28x-3%29%2F%28%28x-2%29%28x%2B3%29%29
Probably want the answer as highlight%28%285x%5E2-15x%29%2F%28x%5E2%2Bx-6%29%29