document.write( "Question 156570: A student was given the following problem: 4x^2 -9/4x^2 +12x + 9 divided by 6x -9 . He states his answer to the problem as 3(2x -3). Is he correct? If not, explain why. What would you suggest he do to solve the problem?\r
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Algebra.Com's Answer #115321 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\"%284x%5E2+-9%29%2F%284x%5E2+%2B12x+%2B+9%29\"÷\"6x+-9\"
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document.write( "Write the \"6x-9\" as \"%286x-9%29%2F1\"\r\n" );
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document.write( "\"%284x%5E2+-9%29%2F%284x%5E2+%2B12x+%2B+9%29\"÷\"%286x+-9%29%2F1\"\r\n" );
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document.write( "Invert the second fraction and change the division\r\n" );
document.write( "to multiplication:\r\n" );
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document.write( "\"%284x%5E2+-9%29%2F%284x%5E2+%2B12x+%2B+9%29\"×\"1%2F%286x+-9%29\"\r\n" );
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document.write( "Now factor \"4x%5E2-9\" as \"%282x-3%29%282x%2B3%29\".\r\n" );
document.write( "Factor \"4x%5E2%2B12x%2B9\" as \"%282x%2B3%29%282x%2B3%29\"\r\n" );
document.write( "Factor \"6x-9\" as \"3%282x-3%29\"\r\n" );
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document.write( "and replace the numerators and denominatore by\r\n" );
document.write( "their factored forms:\r\n" );
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document.write( "\"%28%282x-3%29%282x%2B3%29%29%2F%28%282x%2B3%29%282x%2B3%29%29\"×\"1%2F%283%282x+-3%29%29\"\r\n" );
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document.write( "Indicate the multiplication of numerators and denominators,\r\n" );
document.write( "so that we have just one fraction:\r\n" );
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document.write( "\"%28%282x-3%29%282x%2B3%29%2A1%29%2F%28%282x%2B3%29%282x%2B3%293%282x+-3%29%29\"\r\n" );
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document.write( "Cancel the \"%282x-3%29\"'s\r\n" );
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document.write( "Cancel the \"%282x%2B3%29\" in the top with one of the \r\n" );
document.write( "\"%282x%2B3%29\"'s in the bottom:\r\n" );
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document.write( "All that's left is \r\n" );
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document.write( "\"1%2F%28%282x%2B3%29%2A3%29\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"1%2F%283%282x%2B3%29%29\"\r\n" );
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document.write( "You can leave it like that, or distribute\r\n" );
document.write( "out the bottom:\r\n" );
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document.write( "\"1%2F%286x%2B9%29\"\r\n" );
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document.write( "Edwin
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