document.write( "Question 722693: Ahhhh, I am a pretty good math student and this question is probably not something I will see on my test but it's driving me nuts, please help...\r
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\n" ); document.write( "\n" ); document.write( "The book says the answer is 4/(x+2)(x-2) but I keep getting -3/(x+2)(x-2).\r
\n" ); document.write( "\n" ); document.write( "I am obviously handling the second term incorrectly but if some one could show me the work I know I'll get it.
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Algebra.Com's Answer #442834 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Do the left numerator by factoring the denominator:\r\n" );
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document.write( "               \"%28x-1%29%2F%28x%5E2-4%29\" = \"%28x-1%29%2F%28%28x-2%29%28x%2B2%29%29\"\r\n" );
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document.write( "Do the left denominator by getting an LCD of (x-2):\r\n" );
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document.write( "               \"1%2B1%2F%28x-2%29\" = \"%28x-2%29%2F%28x-2%29\"\"%22%22%2B%22%22\"\"1%2F%28x-2%29\" = \"%28x-2%2B1%29%2F%28x-2%29\" = \"%28x-1%29%2F%28x-2%29\"\r\n" );
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document.write( "So we have\r\n" );
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document.write( "\"%28%28x-1%29%2F%28%28x-2%29%28x%2B2%29%29%29%2F%28%28x-1%29%2F%28x-2%29%29\"\"%22%22-%22%22\"\"1%2F%28x-2%29\"\r\n" );
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document.write( "The first term is a fraction divided by a fraction, so\r\n" );
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document.write( "\"%28x-1%29%2F%28%28x-2%29%28x%2B2%29%29\"\"%22%F7%22\"\"%28x-1%29%2F%28x-2%29\"\"%22%22-%22%22\"\"1%2F%28x-2%29\"\r\n" );
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document.write( "So we invert the second fraction and change the division to \r\n" );
document.write( "multiplication.\r\n" );
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document.write( "\"%28x-1%29%2F%28%28x-2%29%28x%2B2%29%29\"\"%22%2A%22\"\"%28x-2%29%2F%28x-1%29\"\"%22%22-%22%22\"\"1%2F%28x-2%29\"\r\n" );
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document.write( "We cancel the (x-2)'s\r\n" );
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document.write( "\"%28x-1%29%2F%28%28cross%28x-2%29%29%28x%2B2%29%29\"\"%22%2A%22\"\"%28cross%28x-2%29%29%2F%28x-1%29\"\"%22%22-%22%22\"\"1%2F%28x-2%29\"\r\n" );
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document.write( "We cancel the (x-1)'s\r\n" );
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document.write( "\"%28%22%22%5E1cross%28x-1%29%29%2F%28%28cross%28x-2%29%29%28x%2B2%29%29\"\"%22%2A%22\"\"%28cross%28x-2%29%29%2F%28cross%28x-1%29%29\"\"%22%22-%22%22\"\"1%2F%28x-2%29\"\r\n" );
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document.write( "\"1%2F%28x%2B2%29\"\"%22%22-%22%22\"\"1%2F%28x-2%29\"\r\n" );
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document.write( "Get an LCD of (x+2)(x-2)\r\n" );
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document.write( "\"%281%2Ared%28%28x-2%29%29%29%2F%28%28x%2B2%29%2Ared%28%28x-2%29%29%29\"\"%22%22-%22%22\"\"%281%2Ared%28%28x%2B2%29%29%29%2F%28%28x-2%29%2Ared%28%28x%2B2%29%29%29\"\r\n" );
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document.write( "\"%28%28x-2%29-%28x%2B2%29%29%2F%28%28x%2B2%29%2A%28x-2%29%29\"\r\n" );
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document.write( "\"%28x-2-x-2%29%2F%28%28x%2B2%29%2A%28x-2%29%29\"\r\n" );
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document.write( "\"%28cross%28x%29-2-cross%28x%29-2%29%2F%28%28x%2B2%29%2A%28x-2%29%29\"\r\n" );
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document.write( "\"%28-2-2%29%2F%28%28x%2B2%29%2A%28x-2%29%29\"\r\n" );
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document.write( "\"%28-4%29%2F%28%28x%2B2%29%2A%28x-2%29%29\"\r\n" );
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document.write( "So the answer has -4 in the numerator, not +4.\r\n" );
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document.write( "Edwin
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