SOLUTION: Please help me. The question says to add and simplify when possible. [8z/(z^2-1)]+z/(z-1). Any help would be greaty appreciated.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me. The question says to add and simplify when possible. [8z/(z^2-1)]+z/(z-1). Any help would be greaty appreciated.      Log On


   

Question 545438: Please help me. The question says to add and simplify when possible. [8z/(z^2-1)]+z/(z-1). Any help would be greaty appreciated.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%288z%29%2F%28z%5E2-1%29 + z%2F%28z-1%29
Note the z^2 - 1, is the difference of squares, and can be factored to:
%288z%29%2F%28%28z-1%29%28z%2B1%29%29 + z%2F%28z-1%29
this will be our common denominator and we have
%288z+%2B+z%28z%2B1%29%29%2F%28%28z-1%29%28z%2B1%29%29 = %288z+%2B+z%5E2%2Bz%29%2F%28%28z-1%29%28z%2B1%29%29 = %28z%5E2+%2B+9z+%29%2F%28%28z-1%29%28z%2B1%29%29