document.write( "Question 643999: x/(x^2-100)+7/x in factored form pleaseeeee show work \n" ); document.write( "
Algebra.Com's Answer #404756 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"x%2F%28x%5E2-100%29\" + \"7%2Fx\"\r\n" );
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document.write( "Factor x²-100 as (x-10)(x+10)\r\n" );
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document.write( "\"x%2F%28%28x-10%29%28x%2B10%29%29\" + \"7%2Fx\"\r\n" );
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document.write( "The LCD is x(x-10)(x+10)\r\n" );
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document.write( "Multiply the first fraction by \"x%2Fx\" since that is the only\r\n" );
document.write( "factor of the LCD which the first fraction's denominator does not contain.\r\n" );
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document.write( "Multiply the first fraction by \"%28%28x-10%29%28x%2B10%29%29%2F%28%28x-10%29%28x%2B10%29%29\" since they are the factors \r\n" );
document.write( "of the LCD which the second fraction's denominator does not contain.\r\n" );
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document.write( "\"x%2Fx\"·\"x%2F%28%28x-10%29%28x%2B10%29%29\" + \"%28%28x-10%29%28x%2B10%29%29%2F%28%28x-10%29%28x%2B10%29%29\"·\"7%2Fx\"\r\n" );
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document.write( "\"x%5E2%2F%28x%28x-10%29%28x%2B10%29%29\" + \"%287%28x-10%29%28x%2B10%29%29%2F%28x%28x-10%29%28x%2B10%29%29\"\r\n" );
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document.write( "Multiply out the right numerator (not the denominator)\r\n" );
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document.write( "\"x%5E2%2F%28x%28x-10%29%28x%2B10%29%29\" + \"%287%28x%5E2-100%29%29%2F%28x%28x-10%29%28x%2B10%29%29\"\r\n" );
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document.write( "\"x%5E2%2F%28x%28x-10%29%28x%2B10%29%29\" + \"%287x%5E2-700%29%29%2F%28x%28x-10%29%28x%2B10%29%29\"\r\n" );
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document.write( "Combine both numerators over the LCD:\r\n" );
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document.write( "\"%28x%5E2%2B7x%5E2-700%29%2F%28%28x-10%29%28x%2B10%29%29\"\r\n" );
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document.write( "\"%288x%5E2-700%29%2F%28x%28x-10%29%28x%2B10%29%29\"\r\n" );
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document.write( "Since you want everything factored completely,\r\n" );
document.write( " factor out 4 in the top:\r\n" );
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document.write( "\"%284%282x%5E2-175%29%29%2F%28x%28x-10%29%28x%2B10%29%29\"\r\n" );
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document.write( "Edwin
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