document.write( "Question 462619:
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document.write( "Combine the rational expressions:\r\n" );
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document.write( "x + 2     x - 4   8(x + 1)\r\n" );
document.write( "—————  +  ————— + ————————\r\n" );
document.write( "x - 7     7 - x    x - 7\r\n" );
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Algebra.Com's Answer #317106 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "x + 2     x - 4   8(x + 1)\r\n" );
document.write( "—————  +  ————— + ————————\r\n" );
document.write( "x - 7     7 - x    x - 7\r\n" );
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document.write( "We must get all the denominators the same.\r\n" );
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document.write( "Two of the denominators are already the same, \r\n" );
document.write( "but the 7 - x is not the same.  So let's work \r\n" );
document.write( "on it:\r\n" );
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document.write( "   7 - x\r\n" );
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document.write( "First write it in descending order:\r\n" );
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document.write( "  -x + 7\r\n" );
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document.write( "which is really\r\n" );
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document.write( " -1x + 7\r\n" );
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document.write( "Now factor out -1 (which changes the sign of the 7)\r\n" );
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document.write( " -1(x - 7)\r\n" );
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document.write( "and we can erase the 1\r\n" );
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document.write( "  -(x - 7)  \r\n" );
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document.write( "Now our original problem becomes:\r\n" );
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document.write( "x + 2      x - 4    8(x + 1)\r\n" );
document.write( "—————  +  ——————  + ————————\r\n" );
document.write( "x - 7    -(x - 7)    x - 7\r\n" );
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document.write( "Now take the - sign out in front of\r\n" );
document.write( "that fraction making the + into a -\r\n" );
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document.write( "x + 2     x - 4   8(x + 1)\r\n" );
document.write( "—————  -  ————— + ————————\r\n" );
document.write( "x - 7     x - 7    x - 7\r\n" );
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document.write( "Now all the denominators are the same.\r\n" );
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document.write( "Distribute out the 8(x + 1) as 8x + 8\r\n" );
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document.write( "x + 2     x - 4    8x + 8\r\n" );
document.write( "—————  -  ————— + ————————\r\n" );
document.write( "x - 7     x - 7     x - 7\r\n" );
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document.write( "Put parentheses around the numerators:\r\n" );
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document.write( "(x + 2)     (x - 4)   (8x + 8)\r\n" );
document.write( "———————  -  ——————— + ————————\r\n" );
document.write( " x - 7       x - 7      x - 7\r\n" );
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document.write( "Combine the numerators over the common \r\n" );
document.write( "denominator:\r\n" );
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document.write( "(x + 2) - (x - 4) + (8x + 8)\r\n" );
document.write( "————————————————————————————\r\n" );
document.write( "            x - 7\r\n" );
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document.write( "Remove the parentheses\r\n" );
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document.write( " x + 2 - x + 4 + 8x + 8\r\n" );
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document.write( "          x - 7\r\n" );
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document.write( "Combine like terms:\r\n" );
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document.write( "    8x + 14\r\n" );
document.write( "   —————————\r\n" );
document.write( "     x - 7\r\n" );
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document.write( "Edwin
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