document.write( "Question 151382: divide x^3-y^3 by x-y\r
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Algebra.Com's Answer #111278 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"%28x%5E3-y%5E3%29%2F%28x-y%29\"$ Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28x-y%29%28x%5E2%2Bxy%2By%5E2%29%29%2F%28x-y%29\"$ Factor $\"x%5E3-y%5E3\"$ to get $\"%28x-y%29%28x%5E2%2Bxy%2By%5E2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28highlight%28%28x-y%29%29%28x%5E2%2Bxy%2By%5E2%29%29%2Fhighlight%28%28x-y%29%29\"$ Highlight the common terms.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28cross%28%28x-y%29%29%28x%5E2%2Bxy%2By%5E2%29%29%2Fcross%28%28x-y%29%29\"$ Cancel out the common terms.\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2Bxy%2By%5E2\"$ Simplify.\r
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\n" ); document.write( "\n" ); document.write( "So $\"%28x%5E3-y%5E3%29%2F%28x-y%29\"$ simplifies to $\"x%5E2%2Bxy%2By%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( "In other words, $\"%28x%5E3-y%5E3%29%2F%28x-y%29=x%5E2%2Bxy%2By%5E2\"$ where $\"x%3C%3Ey\"$ \n" ); document.write( "

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