Question 164668
(3+[1/(x^2 -1)])/(2+[4/(x-1)])
=(3(x^2-1)+1)/(x^2-1))/...
=(3x^2-3+1)/(x^2-1)/...
=(3x^2-2)/(x^2-1)/...
=.../((2(x-1)+4)/(x-1))
=.../((2x-2+4)/(x-1))
=.../((2x+2)/(x-1))
={{{((3x^2-2)/((x+1)cross(x-1)))*(cross(x-1)/(2(x+1)))}}}
={{{(3x^2-2)/(2(x^2+2x+1))}}}
={{{(3x^2-2)/(2x^2+4x+2)}}}
.
Ed