document.write( "Question 207462This question is from textbook Introductory Algebra
\n" ); document.write( ": Please help me simplify with division:\r
\n" ); document.write( "\n" ); document.write( "\"%283x%2B3y%2B3%29%2F%289x%29\" / \"%28x%5E2%2B2xy%2By%5E2-1%29%2F%28x%5E4%2Bx%5E2%29\" \n" ); document.write( "
Algebra.Com's Answer #157007 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\"%283x%2B3y%2B3%29%2F%289x%29\"÷\"%28x%5E2%2B2xy%2By%5E2-1%29%2F%28x%5E4%2Bx%5E2%29\"\r\n" );
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document.write( "Invert the second fraction and change the \r\n" );
document.write( "division to multiplication:\r\n" );
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document.write( "\"%28%283x%2B3y%2B3%29%2F%289x%29%29%28%28x%5E4%2Bx%5E2%29%2F%28x%5E2%2B2xy%2By%5E2-1%29%29\"\r\n" );
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document.write( "Factor \"3x%2B3y%2B3\" by factoring out \"3\" and getting \"3%28x%2By%2B1%29\"\r\n" );
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document.write( "Factor \"x%5E4%2Bx%5E2\" by factoring out \"x%5E2\" and getting \"x%5E2%28x%5E2%2B1%29\"\r\n" );
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document.write( "Factor \"x%5E2%2B2xy%2By%5E2-1\" \r\n" );
document.write( "Factor the first three terms as \r\n" );
document.write( "\"%28x%2By%29%5E2-1\"\r\n" );
document.write( "and then factor that as the difference of two squares:\r\n" );
document.write( "\"%28%28x%2By%29-1%29%28%28x%2By%29%2B1%29\"\r\n" );
document.write( "or\r\n" );
document.write( "\"%28x%2By-1%29%28x%2By%2B1%29\"\r\n" );
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document.write( "Now replace each by its factored form:\r\n" );
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document.write( "Cancel the 3 into the 9.\r\n" );
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document.write( "The x in the bottom cancels out the square in the top:\r\n" );
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document.write( "Cancel the \"%28x%2By%2B1%29\"'s:\r\n" );
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document.write( "All that's left is\r\n" );
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document.write( "\"%28x%28x%5E2%2B1%29%29%2F%283%28x%2By-1%29%29\"\r\n" );
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document.write( "You can leave it like that or multiply out, and get\r\n" );
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document.write( "\"%28x%5E3%2Bx%29%2F%283x%2B3y-3%29\"\r\n" );
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document.write( "Edwin
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