document.write( "Question 1203479: Please help me solve this,(4x^2_9)divide by (2x+3) \n" ); document.write( "
Algebra.Com's Answer #839079 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Depends what you are expected to know or what method you are told to use.\r
\n" ); document.write( "\n" ); document.write( "One learns very early on \"%28a-b%29%28a%2Bb%29=a%5E2%2Bab-ab%2Bb%5E2=a%5E2-b%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Seeing you have the difference of two squares,
\n" ); document.write( "\"4x%5E2-9\"\r
\n" ); document.write( "\n" ); document.write( "\"%282x%29%5E2-3%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%28%282x%29%2B3%29%28%282x%29-3%29\"
\n" ); document.write( "So the division to perform using this is obvious.\r
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\n" ); document.write( "\n" ); document.write( "Maybe you want to use polynomial division?
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document.write( "           2x     -3\r\n" );
document.write( "       ____________________________\r\n" );
document.write( "2x+3   |   4x^2    0x    -9\r\n" );
document.write( "           4x^2    6x\r\n" );
document.write( "         --------------\r\n" );
document.write( "           0      -6x   -9\r\n" );
document.write( "                  -6x   -9\r\n" );
document.write( "                 ---------\r\n" );
document.write( "                  0    0     remainder 0\r\n" );
document.write( "

\n" ); document.write( "Directly demonstrating \"4x%5E2-9\" divided by \"2x%2B3\" is \"highlight%282x-3%29\".\r
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