document.write( "Question 116567: This particular problem that I'm working on says Divide x square+10x+24 over x+4. For a problem like this, is the Distributive Property recommended?
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Algebra.Com's Answer #84740 by Edwin McCravy(20064)\"\" \"About 
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This particular problem that I'm working on says Divide: \"%28x%5E2%2B10x%2B24%29%2F%28x%2B4%29\". For a problem like this, is the Distributive Property recommended?\r
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document.write( "No, the distributive property is recommended only when the denominator\r\n" );
document.write( "contains ONLY ONE TERM.  But the denominator here is x+4 which contains\r\n" );
document.write( "TWO terms.\r\n" );
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document.write( "If you were to use the distributive property you would have:\r\n" );
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document.write( "\"%28x%5E2%2B10x%2B24%29%2F%28x%2B4%29\"\r\n" );
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document.write( "\"x%5E2%2F%28x%2B4%29%2B%2810x%29%2F%28x%2B4%29%2B24%2F%28x%2B4%29\"\r\n" );
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document.write( "and none of those three fractions can be simplified.  So the\r\n" );
document.write( "distributive law \"complicates\" rather than simplifies.\r\n" );
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document.write( "The correct way to simplify \r\n" );
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document.write( "\"%28x%5E2%2B10x%2B24%29%2F%28x%2B4%29\"\r\n" );
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document.write( "is either by long division:\r\n" );
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document.write( "             x +  6\r\n" );
document.write( "x + 4)x² + 10x + 24\r\n" );
document.write( "      x² +  4x\r\n" );
document.write( "            6x + 24\r\n" );
document.write( "            6x + 24 \r\n" );
document.write( "                  0\r\n" );
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document.write( "getting quotient x + 6,\r\n" );
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document.write( "or by factoring the numerator\r\n" );
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document.write( "\"%28x%5E2%2B10x%2B24%29%2F%28x%2B4%29\"\r\n" );
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document.write( "as\r\n" );
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document.write( "\"%28%28x%2B4%29%28x%2B6%29%29%2F%28x%2B4%29\"\r\n" );
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document.write( "and then canceling the \"%28x%2B4%29\"'s,\r\n" );
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document.write( "\"%28cross%28x%2B4%29%28x%2B6%29%29%2Fcross%28x+%2B+4%29\"\r\n" );
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document.write( " leaving\r\n" );
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document.write( "\"x%2B6\"\r\n" );
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document.write( "Edwin
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