SOLUTION: I need help trying to solve this. 6x-18/2x^2-5x+3* 4x^2+4x+1/ 6x+3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help trying to solve this. 6x-18/2x^2-5x+3* 4x^2+4x+1/ 6x+3      Log On


   

Question 133259: I need help trying to solve this. 6x-18/2x^2-5x+3* 4x^2+4x+1/ 6x+3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%286x-18%29%2F%282x%5E2-5x%2B3%29%29%28%284x%5E2%2B4x%2B1%29%2F%286x%2B3%29%29 Start with the given expression

Factor 6x-18 to get 6%28x-3%29 and factor 6 to get %282%2A3%29

Factor 2x%5E2-5x%2B3 to get %282x-3%29%28x-1%29

Factor 4x%5E2%2B4x%2B1 to get %282x%2B1%29%282x%2B1%29

Factor 6x%2B3 to get 3%282x%2B1%29


%282%2A3%29%28x-3%29%282x%2B1%29%282x%2B1%29%2F%282x-3%29%28x-1%293%282x%2B1%29 Combine the fractions


Cancel like terms


%282%28x-3%29%282x%2B1%29%29%2F%28%282x-3%29%28x-1%29%29 Simplify



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Answer:

So %28%286x-18%29%2F%282x%5E2-5x%2B3%29%29%28%284x%5E2%2B4x%2B1%29%2F%286x%2B3%29%29 simplifies to %282%28x-3%29%282x%2B1%29%29%2F%28%282x-3%29%28x-1%29%29. In other words