SOLUTION: I do not know where to start and what to do to perform the proper operation to solve a rational expression. Please Help. {{{(6r^2+5rt-25t^2)/(6r^2+3rt-30t

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Question 271475: I do not know where to start and what to do to perform the proper operation to solve a rational expression. Please Help.



Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
6r^2+5rt-25t^2 / 6r^2+3rt-30t^2
Factor where you can:
[6r^2+15rt-10rt-25t^2] / [6r^2+15rt-12rt-30t^2]
---
[3r(2r+5t)-5t(2r+5t)] / [3r(2r+5t)-6t(2r+5t)]
---
[(2r+5t)(3r-5t)] / [(2r+5t)(3r-6t)]
Cancel the 2r+5t factor:
Ans: (3r-5t)/(3r-6t)
=================================
Follow the same procedure for the 2nd problem.
Cheers,
Stan H.




9r^2-3rt-20t^2 / 21r^2-18rt-48t^2
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
      

Factor the numerator

   
   

Factor the denominator:

   
   
   

Now write the factored numerator on top and
the factored denominator on the bottom:

   

The 's will cancel:

   

      

-------------------------------------

 

Factor the numerator

   
   

Factor the denominator:

   
   
   

Now write the factored numerator on top and
the factored denominator on the bottom:

   

Nothing cancels so you can go no further.

Edwin
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