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

Algebra ->  Algebra  -> Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 3+[1/(x^2 -1)] divided by 2+[4/(x-1)]       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


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

Answer by edjones(7311) 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))
=%28%283x%5E2-2%29%2F%28%28x%2B1%29cross%28x-1%29%29%29%2A%28cross%28x-1%29%2F%282%28x%2B1%29%29%29
=%283x%5E2-2%29%2F%282%28x%5E2%2B2x%2B1%29%29
=%283x%5E2-2%29%2F%282x%5E2%2B4x%2B2%29
.
Ed