SOLUTION: Please help me divide and simplify) please show all steps so I can learn this. z^2-2z+1/z^2-1/(4z^2-z-3) This is by far the hardest thing I have ever done. Thank you in advan

Algebra ->  Expressions-with-variables -> SOLUTION: Please help me divide and simplify) please show all steps so I can learn this. z^2-2z+1/z^2-1/(4z^2-z-3) This is by far the hardest thing I have ever done. Thank you in advan      Log On


   



Question 327006: Please help me divide and simplify) please show all steps so I can learn this.
z^2-2z+1/z^2-1/(4z^2-z-3)
This is by far the hardest thing I have ever done. Thank you in advance..Please help me.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First factor each of the terms looking for common factors to eliminate.
Then stage the division in steps.
z%5E2-2z%2B1=%28z-1%29%5E2
z%5E2-1=%28z-1%29%28z%2B1%29
4z%5E2-z-3=%284z%2B3%29%28z-1%29
So then,
%28z%5E2-2z%2B1%29%2F%28z%5E2-1%29=%28z-1%29%5E2%2F%28%28z-1%29%28z%2B1%29%29

%28z%5E2-2z%2B1%29%2F%28z%5E2-1%29=%28z-1%29%2F%28z%2B1%29
And finally,