SOLUTION: Simplify (1/2x+1/4)/(4/x^2-1)Thank you for your help.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Simplify (1/2x+1/4)/(4/x^2-1)Thank you for your help.       Log On


   

Question 178513: Simplify (1/2x+1/4)/(4/x^2-1)Thank you for your help.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
hope I get this right because it is written so the 2x is under the 1 but I am thinking you meant (1/2)x or x/2
:
%28%281%2F2x%29%2B%281%2F4%29%29%2F%284%2F%28x%5E2-1%29%29
:
invert and multiply bottom fraction
:
%28%281%2F2x%29%2B%281%2F4%29%29%28%28x%5E2-1%29%2F4%29%29%29
:
%28%28x%2B2%29%2F4x%29%28%28x%5E2-1%29%2F4%29.........found common denominator on terms on left
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%28x%2B2%2B%28x%29%28x%5E2-1%29%29%2F4x%29.....combined numerator terms over common denominator after multiplying right side by x/x to get common denominator of 4x
:
%28x%5E3%2B2%29%2F4xcombined like terms