document.write( "Question 1031246: Write the partial decomposition of the rational expression:\r
\n" ); document.write( "\n" ); document.write( "(-x^2+2x+4)/(x(x+2)^2) = A/x + B/(x+2) + C/(x+2)^2\r
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Algebra.Com's Answer #646002 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Multiply both sides by the LCD  x(x+2)²\r\n" );
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document.write( "\"-x%5E2%2B2x%2B4+=+A%28x%2B2%29%5E2+%2B+Bx%28x%2B2%29+%2B+Cx\"\r\n" );
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document.write( "Substitute x=0\r\n" );
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document.write( "\"-0%5E2%2B2%280%29%2B4+=+A%280%2B2%29%5E2+%2B+B%280%29%280%2B2%29+%2B+C%280%29\"\r\n" );
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document.write( "\"4+=+A%282%5E2%29\"\r\n" );
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document.write( "\"4+=+4A\"\r\n" );
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document.write( "\"1=A\"\r\n" );
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document.write( "Substitute x=-2\r\n" );
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document.write( "\"-%28-2%29%5E2%2B2%28-2%29%2B4+=+A%28-2%2B2%29%5E2+%2B+Bx%28-2%2B2%29+%2B+C%28-2%29\"\r\n" );
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document.write( "\"-4+=+-2C\"\r\n" );
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document.write( "\"2=C\"\r\n" );
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document.write( "Substitute x=1, A=1, C=2\r\n" );
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document.write( "\"-1%5E2%2B2%281%29%2B4+=+1%281%2B2%29%5E2+%2B+B%281%29%281%2B2%29+%2B+2%281%29\"\r\n" );
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document.write( "\"5+=+9+%2B+B%283%29+%2B+2\"\r\n" );
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document.write( "\"5=11%2B3B%7B%7B%7B%0D%0A%0D%0A%7B%7B%7B-6=3B\"\r\n" );
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document.write( "\"-2=B\" \r\n" );
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document.write( "So:\r\n" );
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document.write( "becomes:\r\n" );
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document.write( "Edwin
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