SOLUTION: 4x +8/6x+18 times 5x+15/x^2-4

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 4x +8/6x+18 times 5x+15/x^2-4      Log On


   

Question 118583This question is from textbook
: 4x +8/6x+18 times 5x+15/x^2-4 This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%284x%2B8%29%2F%286x%2B18%29%29%28%285x%2B15%29%2F%28x%5E2-4%29%29 Start with the given expression

%28%284%28x%2B2%29%29%2F%286x%2B18%29%29%28%285x%2B15%29%2F%28x%5E2-4%29%29 Factor 4x%2B8 to get 4%28x%2B2%29

%28%284%28x%2B2%29%29%2F%286%28x%2B3%29%29%29%28%285x%2B15%29%2F%28x%5E2-4%29%29 Factor 6x%2B18 to get 6%28x%2B3%29

%28%284%28x%2B2%29%29%2F%286%28x%2B3%29%29%29%28%285%28x%2B3%29%29%2F%28x%5E2-4%29%29 Factor 5x%2B15 to get 5%28x%2B3%29

Factor x%5E2-4 to get %28x%2B2%29%28x-2%29


Factor 4 to get 2*2


Factor 6 to get 2*3


2%2A2%28x%2B2%295%28x%2B3%29%2F%282%2A3%28x%2B3%29%28x%2B2%29%28x-2%29%29 Combine the fractions



Cancel like terms


%282%2A5%29%2F3%28x-2%29 Simplify


10%2F3%28x-2%29 Multiply


So %28%284x%2B8%29%2F%286x%2B18%29%29%28%285x%2B15%29%2F%28x%5E2-4%29%29 simplifies to 10%2F3%28x-2%29


In other words, %28%284x%2B8%29%2F%286x%2B18%29%29%28%285x%2B15%29%2F%28x%5E2-4%29%29=10%2F3%28x-2%29