SOLUTION: I am not to sure how to simplify and divide rational expressions, could some one please help me with this problem. (2x^2 + 5x - 12/ 9x^2 - 16) /(2x^2 - 7x + 6/ 3x^2 - x - 4) T

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am not to sure how to simplify and divide rational expressions, could some one please help me with this problem. (2x^2 + 5x - 12/ 9x^2 - 16) /(2x^2 - 7x + 6/ 3x^2 - x - 4) T      Log On


   

Question 113020: I am not to sure how to simplify and divide rational expressions, could some one please help me with this problem.
(2x^2 + 5x - 12/ 9x^2 - 16) /(2x^2 - 7x + 6/ 3x^2 - x - 4)
Thank you in advance for your help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression


Multiply the first fraction by the reciprocal of the second fraction


Factor 2x%5E2%2B5x-12 to get %28x%2B4%29%282x-3%29 (note: if you need help with factoring, check out this solver)

Factor 9x%5E2-16 to get %283x-4%29%283x%2B4%29

Factor 3x%5E2-x-4 to get %283x-4%29%28x%2B1%29

Factor 2x%5E2-7x%2B6 to get %28x-2%29%282x-3%29



Cancel like terms


%28%28%28x%2B4%29%29%2F%28%283x%2B4%29%29%29%2A%28%28%28x%2B1%29%29%2F%28%28x-2%29%29%29 Simplify


%28%28x%2B4%29%28x%2B1%29%29%2F%28%283x%2B4%29%28x-2%29%29 Combine the fractions


So simplifies to %28%28x%2B4%29%28x%2B1%29%29%2F%28%283x%2B4%29%28x-2%29%29