document.write( "Question 251796: Please simplify:
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Algebra.Com's Answer #183480 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
First, let's expand \"%28x%5E2%2B2xy-y%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B2xy-y%29%5E2\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B2xy-y%29%28x%5E2%2B2xy-y%29\" Rewrite \"%28x%5E2%2B2xy-y%29%5E2\" as \"%28x%5E2%2B2xy-y%29%28x%5E2%2B2xy-y%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%28x%5E2%2B2xy-y%29%2B2xy%28x%5E2%2B2xy-y%29-y%28x%5E2%2B2xy-y%29\" Expand. Recall that \"%28A%2BB%2BC%29%28D%2BE%2BF%29=A%28D%2BE%2BF%29%2BB%28D%2BE%2BF%29%2BC%28D%2BE%2BF%29\"\r
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\n" ); document.write( "\n" ); document.write( " Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E4%2B2x%5E3y-x%5E2y%2B2x%5E3y%2B4x%5E2y%5E2-2xy%5E2-x%5E2y-2xy%5E2%2By%5E2\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E4%2B4x%5E3y-2x%5E2y%2B4x%5E2y%5E2-4xy%5E2%2By%5E2\" Now combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%28x%5E2%2B2xy-y%29%28x%5E2%2B2xy-y%29\" expands to \"x%5E4%2B4x%5E3y-2x%5E2y%2B4x%5E2y%5E2-4xy%5E2%2By%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28x%5E2%2B2xy-y%29%28x%5E2%2B2xy-y%29=x%5E4%2B4x%5E3y-2x%5E2y%2B4x%5E2y%5E2-4xy%5E2%2By%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "This means that \"%28x%2By%29%28x%5E2%2B2xy-y%29%5E2\" then becomes \"%28x%2By%29%28x%5E4%2B4x%5E3y-2x%5E2y%2B4x%5E2y%5E2-4xy%5E2%2By%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Now let's finish up...\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2By%29%28x%5E4%2B4x%5E3y-2x%5E2y%2B4x%5E2y%5E2-4xy%5E2%2By%5E2%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " Expand.\r
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\n" ); document.write( "\n" ); document.write( " Distribute.\r
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\n" ); document.write( "\n" ); document.write( " Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E5%2B5x%5E4y-2x%5E3y%2B8x%5E3y%5E2-6x%5E2y%5E2%2Bxy%5E2%2B4y%5E3x%5E2-4y%5E3x%2By%5E3\" Now combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%28x%2By%29%28x%5E4%2B4x%5E3y-2x%5E2y%2B4x%5E2y%5E2-4xy%5E2%2By%5E2%29\" expands to \"x%5E5%2B5x%5E4y-2x%5E3y%2B8x%5E3y%5E2-6x%5E2y%5E2%2Bxy%5E2%2B4y%5E3x%5E2-4y%5E3x%2By%5E3\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, .\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So \"%28x%2By%29%28x%5E2%2B2xy-y%29%5E2\" fully expands out to \"x%5E5%2B5x%5E4y-2x%5E3y%2B8x%5E3y%5E2-6x%5E2y%5E2%2Bxy%5E2%2B4y%5E3x%5E2-4y%5E3x%2By%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "In other words, \r
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\n" ); document.write( "\n" ); document.write( "Note: if this problem was more complicated than it should have been, then maybe there's a typo somewhere. \n" ); document.write( "
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