SOLUTION: 3+[1/(x^2 -1)] divided by 2+[4/(x-1)]

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Question 164668: 3+[1/(x^2 -1)]
divided by
2+[4/(x-1)]

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(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))
=
=%283x%5E2-2%29%2F%282%28x%5E2%2B2x%2B1%29%29
=%283x%5E2-2%29%2F%282x%5E2%2B4x%2B2%29
.
Ed