SOLUTION: simplify the complex rational expression. x/y^ + 1/x __________ y/x + 1/x

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Question 231219: simplify the complex rational expression.
x/y^ + 1/x
__________
y/x + 1/x

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simplify the complex rational expression.
x/y^2 + 1/x
__________
y/x + 1/x
==========================
[(x^2 + y^2)/(xy^2)] / [(y+1)/x]
-----------------------------------
Invert the denominator and multiply:
[(x^2 + y^2)/(xy^2)] * [x/(y+1)]
--------------
Cancel the common factor of "x":
[(x^2 + y^2)/y^2] * [1/(y+1)]
-------------------
= [x^2+y^2][y^3+y^2]
===========================
Cheers,
Stan H.