document.write( "Question 715231: Can you simplify x/y (x^2) + x/y (y^2) \n" ); document.write( "

Algebra.Com's Answer #439392 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
I am not sure if you meant $\"%28x%2Fy%29%28x%5E2%29+%2B+%28x%2Fy%29+%28y%5E2%29\"$ or $\"x%2Fy+%28x%5E2%29+%2B+x%2Fy+%28y%5E2%29\"$ so I will work on both of them.
\n" ); document.write( "I am also not sure what your book (or teacher) means by \"simplify\" so I will work toward expressions that seem simpler to me, and may or may not be more useful, depending on circumstances.
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\n" ); document.write( "I suspect the problem and the expected answer is this:
\n" ); document.write( " $\"%28x%2Fy%29%28x%5E2%29+%2B+%28x%2Fy%29+%28y%5E2%29=%28x%2Fy%29%28x%5E2%2By%5E2%29\"$ (taking out $\"%28x%2Fy%29\"$ as a common factor)
\n" ); document.write( "We can work from there to equivalent expressions that could also be the intended answer:
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\n" ); document.write( "To me, all of those expressions seem simpler than the original one.
\n" ); document.write( "You could go directly to the last one
\n" ); document.write( " $\"%28x%2Fy%29%28x%5E2%29+%2B+%28x%2Fy%29+%28y%5E2%29=x%5E3%2Fy%2Bxy%5E2%2Fy=x%5E3%2Fy%2Bxy\"$ by \"performing indicated operations.\"
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\n" ); document.write( "If the problem was not that, maybe this will help:
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(taking out $\"%28x%2Fy%29\"$ as a common factor)
\n" ); document.write( "We can work from there to equivalent expressions that could also be the intended answer:
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\n" ); document.write( "For this proble, you could go directly to the last expression by \"performing indicated operations.\" \n" ); document.write( "

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