document.write( "Question 43227This question is from textbook INTERMEDIATE ALGEBRA
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Divide and Simplify: \r\n" );
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document.write( "      5x - 7\r\n" );
document.write( "   -----------\r\n" );
document.write( "    25x² - 49\r\n" );
document.write( "----------------\r\n" );
document.write( " 5x² + 27x + 28
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Algebra.Com's Answer #28242 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
Divide and Simplify: \r\n" );
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document.write( "      5x - 7\r\n" );
document.write( "   -----------\r\n" );
document.write( "    25x² - 49\r\n" );
document.write( "----------------\r\n" );
document.write( " 5x² + 27x + 28\r\n" );
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document.write( "Write it as the upper fraction divided\r\n" );
document.write( "by the the trinomial at the bottom:\r\n" );
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document.write( "      5x - 7       \r\n" );
document.write( "   ----------- ÷ (5x² + 27x + 28)\r\n" );
document.write( "    25x² - 49             \r\n" );
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document.write( "Now put that trinomial over 1:\r\n" );
document.write( "\r\n" );
document.write( "      5x - 7      5x² + 27x + 28\r\n" );
document.write( "   ----------- ÷ ----------------\r\n" );
document.write( "    25x² - 49            1\r\n" );
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document.write( "Now invert the second fraction and \r\n" );
document.write( "change the ÷ to ×\r\n" );
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document.write( "      5x - 7             1\r\n" );
document.write( "   ----------- × ----------------\r\n" );
document.write( "    25x² - 49     5x² + 27x + 28       \r\n" );
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document.write( "Factor the two denominators\r\n" );
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document.write( "          5x - 7                1\r\n" );
document.write( "   ------------------ × -----------------\r\n" );
document.write( "    (5x - 7)(5x + 7)     (x + 4)(5x + 7)\r\n" );
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document.write( "Write as one fraction by indicating the \r\n" );
document.write( "multiplicatiom of numerators and\r\n" );
document.write( "denominators:\r\n" );
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document.write( "                 5x - 7                \r\n" );
document.write( "   ---------------------------------\r\n" );
document.write( "    (5x - 7)(5x + 7)(x + 4)(5x + 7)\r\n" );
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document.write( "Cancel the (5x - 7)'s\r\n" );
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document.write( "                    1\r\n" );
document.write( "                 5x - 7                \r\n" );
document.write( "   ---------------------------------\r\n" );
document.write( "    (5x - 7)(5x + 7)(x + 4)(5x + 7) \r\n" );
document.write( "        1\r\n" );
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document.write( "                  1                \r\n" );
document.write( "       -------------------------\r\n" );
document.write( "        (5x + 7)(x + 4)(5x + 7)\r\n" );
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document.write( "Since there are two factors (5x + 7) you\r\n" );
document.write( "can write their product as (5x + 7)²\r\n" );
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document.write( "                  1                \r\n" );
document.write( "          ------------------\r\n" );
document.write( "           (x + 4)(5x + 7)²\r\n" );
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document.write( "Edwin

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