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

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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)   (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 to get (note: if you need help with factoring, check out this solver)

Factor to get

Factor to get

Factor to get



Cancel like terms


Simplify


Combine the fractions


So simplifies to

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