SOLUTION: Please help me simplify this rational expression: {{{ ((x^3+y^3)/(2x^3+2x^2y))/((3x^3-3x^2y+3xy^2)/(6x^2-6y^2))}}}

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Question 196861: Please help me simplify this rational expression:
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!

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Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Note: the previous solution has a sign error and the answer should be much simpler.



Start with the given expression.


Multiply the first fraction by the reciprocal of the second fraction .


Factor to get .


Factor to get .


Factor to get .


Factor to get .


Combine the fractions.


Multiply and to get .


Highlight the common terms.


Cancel out the common terms.


Simplify


FOIL



So simplifies to .


In other words,



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