You can 
put this solution on YOUR website! 
Rational expression is in simplest form when both numerator and
denominator have no common factor other than 1.
             15x^2 - x - 2
            ______________
 
             3x^2 - 5x - 2
Factor both numerator and denominator.
           (3x + 1) (5x - 2) 
        =  ________________
           (3x + 1) (x - 2)
Divide common factors
                    
          5x - 2
       =  ______ 
           x - 2