SOLUTION: Please help me solve this: {{{(3x^2+9x-30)/(3x^2-75)}}} I seem to still be having trouble with factoring and this whole topic of solving rational expressions.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve this: {{{(3x^2+9x-30)/(3x^2-75)}}} I seem to still be having trouble with factoring and this whole topic of solving rational expressions.      Log On


   

Question 78335: Please help me solve this:
%283x%5E2%2B9x-30%29%2F%283x%5E2-75%29
I seem to still be having trouble with factoring and this whole topic of solving rational expressions.
Found 2 solutions by jim_thompson5910, rmromero:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Take a look at this answer. Did you ask this question before? If so, what part isn't making sense for you.

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!


Please help me solve this:

%283x%5E2%2B9x-30%29%2F%283x%5E2-75%29





     3x^2 + 9x - 30

   _________________

       3x^2 - 75





Factor out the common factor 3 each term both numerator and denominator



   3(x^2 + 3x - 10)

 ___________________

    3 (x^2 - 25)





     3(x+5)(x-2)

  ________________

    3(x+5)(x-5)





     cross+%283%28x%2B5%29%29(x-2)

  ________________

    cross+%283%28x%2B5%29%29(x-5)





           x - 2 

         __________

           x - 5