document.write( "Question 58380This question is from textbook Applied College Algebra
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Write \r\n" );
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document.write( " 2x - 3        \r\n" );
document.write( "-------- - 3x\r\n" );
document.write( " 2x - 1\r\n" );
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document.write( "as a rational expression.
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Algebra.Com's Answer #40006 by Edwin McCravy(20064)\"\" \"About 
You can put this solution on YOUR website!
Write \r\n" );
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document.write( " 2x - 3        \r\n" );
document.write( "-------- - 3x\r\n" );
document.write( " 2x - 1\r\n" );
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document.write( "as a rational expression.\r\n" );
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document.write( " 2x - 3        \r\n" );
document.write( "-------- - 3x\r\n" );
document.write( " 2x - 1\r\n" );
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document.write( "Put the 3x over 1\r\n" );
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document.write( " 2x - 3     3x   \r\n" );
document.write( "-------- - ----\r\n" );
document.write( " 2x - 1      1\r\n" );
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document.write( "The LCD is (2x - 1)\r\n" );
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document.write( "The first fraction already has the LCD so\r\n" );
document.write( "don't need to multiply it by anything,\r\n" );
document.write( "The second fraction needs to have the\r\n" );
document.write( "LCD for its denominator, so we multiply\r\n" );
document.write( "top and bottom by (2x - 1)\r\n" );
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document.write( " 2x - 3     3x(2x - 1)   \r\n" );
document.write( "-------- - ------------\r\n" );
document.write( " 2x - 1      1(2x - 1)\r\n" );
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document.write( "Distribute to remove the parentheses:\r\n" );
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document.write( " 2x - 3     6x² - 3x   \r\n" );
document.write( "-------- - ----------\r\n" );
document.write( " 2x - 1      2x - 1\r\n" );
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document.write( "Write as one fraction over the common\r\n" );
document.write( "denominator. \r\n" );
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document.write( "Caution: the - sign in\r\n" );
document.write( "front of the second fraction causes\r\n" );
document.write( "BOTH signs in its numerator to change,\r\n" );
document.write( "so be sure to change the sign of the \r\n" );
document.write( "\"- 3x\" to \"+ 3x\":\r\n" );
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document.write( " 2x - 3 - 6x² + 3x   \r\n" );
document.write( "-------------------\r\n" );
document.write( "       2x - 1\r\n" );
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document.write( "Combine the 2x and the 3x as 5x\r\n" );
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document.write( " 5x - 3 - 6x²    \r\n" );
document.write( "--------------\r\n" );
document.write( "    2x - 1 \r\n" );
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document.write( "You can stop there, or if your\r\n" );
document.write( "teacher wants you to, you can\r\n" );
document.write( "rearrange the numerator in \r\n" );
document.write( "descending order of exponents \r\n" );
document.write( "of x:\r\n" );
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document.write( " -6x² + 5x - 5    \r\n" );
document.write( "---------------\r\n" );
document.write( "    2x - 1\r\n" );
document.write( "     \r\n" );
document.write( "The numerator will not factor.\r\n" );
document.write( "However, in other similar problems \r\n" );
document.write( "it sometimes will, and when it\r\n" );
document.write( "does, sometimes a factor of it will\r\n" );
document.write( "cancel with a factor in the \r\n" );
document.write( "denominator. That's why your \r\n" );
document.write( "teacher may require you to arrange \r\n" );
document.write( "it in descending order, because \r\n" );
document.write( "that will be necessary in other \r\n" );
document.write( "similar problems in which the \r\n" );
document.write( "numerator factors.\r\n" );
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document.write( "Edwin
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