SOLUTION: please help me Simplify: {{{(a-a^-1)/(1-a)}}} My answer after canceling the a's and I kept the same sign (-) I tried to show the -1 without brackets {{{(-a^-1)/(1)}}}

Algebra ->  Real-numbers -> SOLUTION: please help me Simplify: {{{(a-a^-1)/(1-a)}}} My answer after canceling the a's and I kept the same sign (-) I tried to show the -1 without brackets {{{(-a^-1)/(1)}}}      Log On


   

Question 175525: please help me Simplify:
%28a-a%5E-1%29%2F%281-a%29

My answer after canceling the a's and I kept the same sign (-) I tried to show the -1 without brackets
%28-a%5E-1%29%2F%281%29
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
please help me Simplify:
%28a-a%5E-1%29%2F%281-a%29
--------------------
=%28a-%281%2Fa%29%29%2F%281-a%29
Multiply by a
=%28a%5E2-1%29%2F%28a%2A%281-a%29%29
=%28a-1%29%2A%28a%2B1%29%2F%28a%2A%281-a%29%29
(a-1) = -(1-a) so cancel those
=-%28a%2B1%29%2Fa