document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182926>Question 182926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem:\r<BR>\n" );
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document.write( "Divide:<BR>\n" );
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document.write( "Divide:<BR>\n" );
document.write( "     2x^(2)+5x–12/9x^(2)–16 ÷ 2x^(2)–7x+6/3x^(2)–x–4\r<BR>\n" );
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document.write( "                        \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137335 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=137335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Divide:<BR>\n" );
document.write( "[ 2x^(2)+5x–12 / 9x^(2)–16 ] ÷ [ 2x^(2)–7x+6 / 3x^(2)–x–4 ] \r<BR>\n" );
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document.write( "Factor where you can to get:\r<BR>\n" );
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document.write( "[ 2x^2 + 8x - 3x -12 / (3x-4)(3x+4) ] / [ 2x^2 -3x -4x + 6 / (3x^2-4x + 3x - 4 ]\r<BR>\n" );
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document.write( "= [ 2x(x+4) - 3(x+4) / (3x-4)(3x+4) ] / [ x(2x-3) -2(2x-3) / x(3x-4) + (3x-4) ]\r<BR>\n" );
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document.write( "= [ (x+4)(2x-3) / (3x-4)(3x+4) ] / [ (2x-3)(x-2) / (3x-4)(x+1) ]\r<BR>\n" );
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document.write( "Invert the denominator and multiply to get:\r<BR>\n" );
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document.write( "= [ (x+4)(2x-3) / (3x-4)(3x+4) ] * [(3x-4)(x+1) / (2x-3)(x-2) ]\r<BR>\n" );
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document.write( "Cancel any factors that are common  to a numerator and denominator<BR>\n" );
document.write( "such as (2x-3), (3x-4)\r<BR>\n" );
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document.write( "= [ (x+4) / (3x+4) ] * [(x+1) / (x-2) ]\r<BR>\n" );
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document.write( "= [(x+4)(x+1)] / [(3x+4)(x-2)]\r<BR>\n" );
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document.write( "=========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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