SOLUTION: Perform the indicated operation involving rational expressions. Express the final answer in simplest form. I don't even know where to start!?! (3x^2-20x+25/2x^2-7x-15)/(6x^2-x-1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the indicated operation involving rational expressions. Express the final answer in simplest form. I don't even know where to start!?! (3x^2-20x+25/2x^2-7x-15)/(6x^2-x-1      Log On


   

Question 503562: Perform the indicated operation involving rational expressions. Express the final answer in simplest form. I don't even know where to start!?!
(3x^2-20x+25/2x^2-7x-15)/(6x^2-x-15/8x^2+18x+9)
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 %283x%5E2-20x%2B25%29%2F%282x%5E2-7x-15%29 by the reciprocal of the second fraction %286x%5E2-x-15%29%2F%288x%5E2%2B18x%2B9%29.


Factor 3x%5E2-20x%2B25 to get %283x-5%29%28x-5%29.


Factor 2x%5E2-7x-15 to get %282x%2B3%29%28x-5%29.


Factor 8x%5E2%2B18x%2B9 to get %282x%2B3%29%284x%2B3%29.


Factor 6x%5E2-x-15 to get %282x%2B3%29%283x-5%29.


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


%284x%2B3%29%2F%282x%2B3%29 Simplify.


So simplifies to %284x%2B3%29%2F%282x%2B3%29.


In other words,


If you need more help, feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim