SOLUTION: Perform the indicated operations and simplify the following expression: {{{(((6r^2-7r-3)/(r^2-1)) /((4r^2-12r+9)/(r^2-1))) * ((2r^2-r-3)/(3r^2-2r-1))}}} A) {{{(2r-3)^2 /(3r+1

Algebra ->  Rational-functions -> SOLUTION: Perform the indicated operations and simplify the following expression: {{{(((6r^2-7r-3)/(r^2-1)) /((4r^2-12r+9)/(r^2-1))) * ((2r^2-r-3)/(3r^2-2r-1))}}} A) {{{(2r-3)^2 /(3r+1      Log On


   

Question 145604: Perform the indicated operations and simplify the following expression:

A) %282r-3%29%5E2+%2F%283r%2B1%29
B) %28r%2B1%29%2F%28r-1%29
C) %28r-1%29%2F%28r%2B1%29
D) 1
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


Invert the second fraction in the first parentheses
and multiply:



Cancel the r%5E2-1's





Factor all the numerators and denominators:



Cancel the %282r-3%29's



Cancel the %283r%2B1%29's

 

Cancel the %282r-3%29's

 

%28r%2B1%29%2F%28r-1%29, which is choice B)

Edwin