Question 238772
x-1     x^4-1      x^2-1
____ x ______x ________                     (this is all one problem)
x^2+1 (x-1)^2  x^4-2x^2+1
:
Factor:
{{{(x-1)/(x^2+1)}}} * {{{((x^2-1)(x^2+1))/((x-1)(x-1))}}} * {{{((x-1)(x+1))/((x^2-1)(x^2-1))}}}
:
Cancel out the (x^2+1)'s
(x-1) * {{{((x^2-1))/((x-1)(x-1))}}} * {{{((x-1)(x+1))/((x^2-1)(x^2-1))}}}
:
Cancel out the (x^2-1)
(x-1) * {{{1/((x-1)(x-1))}}} * {{{((x-1)(x+1))/((x^2-1))}}}
:
Cancel out the (x-1)'s
1 * {{{((x+1))/((x^2-1))}}}
:
we can factor (x^2-1)
{{{((x+1))/((x-1)(x+1)))}}}
:
Cancel x+1
{{{1/(x-1)}}} is all we have left, could you follow what we did here?