SOLUTION: Divide: [(2x^2 + 5x -12)/(9x^2 - 16)]/[(2x^2 - 7x + 6)/3x^2 - x - 4)] Any help will be appreciated. Thanks

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Question 195959: Divide:
[(2x^2 + 5x -12)/(9x^2 - 16)]/[(2x^2 - 7x + 6)/3x^2 - x - 4)]
Any help will be appreciated. Thanks

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 .


Factor to get .


Factor to get .


Factor to get .


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


Simplify.


FOIL


So simplifies to .


In other words, where , , , or

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