SOLUTION: please help simplify: 2/x^2 + 1/x ——————— x + 27/x^2 Thank you!

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Question 1095581: please help simplify:

2/x^2 + 1/x
———————
x + 27/x^2
Thank you!

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!

The given expression is
%282%2Fx%5E2%2B1%2Fx%29%2F%28x%2B27%2Fx%5E2%29

While there are many ways you could go about simplifying this, for me by far the easiest way is to multiply numerator and denominator by x^2, which is the LCM of all the denominators of the individual fractions.
%282+%2B+x%29%2F%28x%5E3+%2B+27%29

The denominator is factorable; but factoring it won't allow you to simplify the expression further; so this is simplest form.