document.write( "Question 25638: Please help me understand how to solve this rational expression.(thank you)
\n" ); document.write( "x^3-y^3/x^2+xy+y^2
\n" ); document.write( "I think the denomiator factors out to: (x+y)(x+y)
\n" ); document.write( "but I am not sure what to do with the numerator!
\n" ); document.write( "Is it, xy(x^2-y^2) and if it is, where do I go from there????
\n" ); document.write( "Thanks SO much for the help!! \n" ); document.write( "

Algebra.Com's Answer #13837 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Simplify the expression: (You don't \"solve\" expressions, you simplify them)
\n" ); document.write( " $\"%28x%5E3-y%5E3%29%2F%28%28x%5E2%2Bxy%2By%5E2%29%29\"$ The numerator is the difference of two cubes and can be factored.
\n" ); document.write( " $\"%28%28x-y%29%28x%5E2%2Bxy%2By%5E2%29%29%2F%28%28x%5E2%2Bxy%2By%5E2%29%29\"$ Cancel the like-terms $\"%28x%5E2%2Bxy%2By%5E2%29\"$ in the top and bottom.
\n" ); document.write( " $\"x-y\"$ This is the answer! \n" ); document.write( "

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