document.write( "Question 225063: please help me solve \"%28x%5E3-3x%5E2%2Bx-3%29%2F%28x%5E2%2B1%29\" \n" ); document.write( "
Algebra.Com's Answer #168021 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\"%28x%5E3-3x%5E2%2Bx-3%29%2F%28x%5E2%2B1%29\"\r
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document.write( "There are two methods.\r\n" );
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document.write( "Method 1: Long division:\r\n" );
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document.write( "You must insert +0x2 in the divisor (denominator):\r\n" );
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document.write( "                        x - 3                   \r\n" );
document.write( "           ------------------\r\n" );
document.write( "x2 + 0x + 1)x3 - 3x2 +  x - 3\r\n" );
document.write( "            x3 + 0x2 +  x\r\n" );
document.write( "            -------------\r\n" );
document.write( "               - 3x2 + 0x - 3\r\n" );
document.write( "               - 3x2 - 0x - 3\r\n" );
document.write( "               --------------\r\n" );
document.write( "                            0\r\n" );
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document.write( "Answer: x - 3\r\n" );
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document.write( "Method 2:  Factoring by grouping:\r\n" );
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document.write( "\"%28x%5E3-3x%5E2%2Bx-3%29%2F%28x%5E2%2B1%29\"\r\n" );
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document.write( "Factor \"x%5E2\" out of the first two terms in the numerator:\r\n" );
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document.write( "\"%28x%5E2%28x-3%29%2Bx-3%29%2F%28x%5E2%2B1%29\"\r\n" );
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document.write( "Factor \"%22%22%2B1\" out of the last two terms of the numerator:\r\n" );
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document.write( "\"%28x%5E2%28x-3%29%2B1%28x-3%29%29%2F%28x%5E2%2B1%29\"\r\n" );
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document.write( "Factor \"%28x-3%29\" out of the two terms in the numerator:\r\n" );
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document.write( "\"%28%28x%5E2%2B1%29%28x-3%29%29%2F%28x%5E2%2B1%29\"\r\n" );
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document.write( "Cancel the \"x%5E2%2B1\"'s\r\n" );
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document.write( "\"%28cross%28%28x%5E2%2B1%29%29%28x-3%29%29%2Fcross%28%28x%5E2%2B1%29%29\"\r\n" );
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document.write( "\"x-3\"\r\n" );
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document.write( "Edwin
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