SOLUTION: factor each rational expression including set, factor, excluded value, real number and domain. show all steps for the following; 1-x^2 / x 2b - 2 / 2b^2 - 8

Algebra ->  Functions -> SOLUTION: factor each rational expression including set, factor, excluded value, real number and domain. show all steps for the following; 1-x^2 / x 2b - 2 / 2b^2 - 8      Log On


   

Question 827285: factor each rational expression including set, factor, excluded value, real number and domain. show all steps for the following;
1-x^2 / x
2b - 2 / 2b^2 - 8
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
factor each rational expression including set, factor, excluded value, real number and domain. show all steps for the following;
1-x^2 / x
------
Factor:
[(1-x)(1+x)]/x
Domain:
All Real Numbers except x = 0
==========================================
2b - 2 / 2b^2 - 8
Factor:
[2(b-1)] / [2(b-2)(b+2)]
Domain:
All Real Numbers except b = -2 or b = 2
---------------------------------------------
Cheers,
Stan H.
====================

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%281-x%5E2%29+%2F+x
%28%281-x%29%281%2Bx%29%29+%2F+x
domain: all real number except x=0
{ x element R : x%3C%3E0+ } (assuming a function from reals to reals)

and

%282b+-+2%29+%2F+%282b%5E2+-+8%29
2%28b+-+1%29+%2F+2%28b%5E2+-+4%29
cross%282%29%28b+-+1%29+%2F+cross%282%29%28b%5E2+-+4%29
%28b+-+1%29+%2F+%28b%5E2+-+2%5E2%29
%28b+-+1%29+%2F+%28%28b+-2%29%28b%2B2%29%29
for %28b+-2%29%28b%2B2%29=0, exclude values for b from domain

if b+-2=0 => b=2
if b+%2B2=0 => b=-2
domain:
{ b element R : b%3C%3E2+ and b%3C%3E-2+}