document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118203>Question 118203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide\r<BR>\n" );
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document.write( "2x^2+5x-12/2x^2-7x+6<BR>\n" );
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document.write( "9x^2-16/3x^2-x-4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86323 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=86323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E2%2B5x-12%29%2F%282x%5E2-7x%2B6%29%29%2F%28%289x%5E2-16%29%2F%283x%5E2-x-4%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E2%2B5x-12%29%2F%282x%5E2-7x%2B6%29%29%2F%28%289x%5E2-16%29%2F%283x%5E2-x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E2%2B5x-12%29%2F%282x%5E2-7x%2B6%29%29%2A%28%28%283x%5E2-x-4%29%29%2F%28%289x%5E2-16%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by the reciprocal of the second fraction\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2B4%29%282x-3%29%29%2F%282x%5E2-7x%2B6%29%29%28%283x%5E2-x-4%29%2F%289x%5E2-16%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B5x-12 ALIGN=MIDDLE  ALT=\"2x%5E2%2B5x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%282x-3%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%282x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2B4%29%282x-3%29%29%2F%28%28x-2%29%282x-3%29%29%29%28%283x%5E2-x-4%29%2F%289x%5E2-16%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-7x%2B6 ALIGN=MIDDLE  ALT=\"2x%5E2-7x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%282x-3%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%282x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2B4%29%282x-3%29%29%2F%28%28x-2%29%282x-3%29%29%29%28%28%283x-4%29%28x%2B1%29%29%2F%289x%5E2-16%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-x-4 ALIGN=MIDDLE  ALT=\"3x%5E2-x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-4%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%283x-4%29%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2B4%29%282x-3%29%29%2F%28%28x-2%29%282x-3%29%29%29%28%28%283x-4%29%28x%2B1%29%29%2F%28%283x%2B4%29%283x-4%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2-16 ALIGN=MIDDLE  ALT=\"9x%5E2-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B4%29%283x-4%29 ALIGN=MIDDLE  ALT=\"%283x%2B4%29%283x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%282x-3%29%283x-4%29%28x%2B1%29%2F%28x-2%29%282x-3%29%283x%2B4%29%283x-4%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%282x-3%29%283x-4%29%28x%2B1%29%2F%28x-2%29%282x-3%29%283x%2B4%29%283x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29cross%28%282x-3%29%29cross%28%283x-4%29%29%28x%2B1%29%2F%28x-2%29cross%28%282x-3%29%29%283x%2B4%29cross%28%283x-4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%28x%2B1%29%2F%28x-2%29%283x%2B4%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%28x%2B1%29%2F%28x-2%29%283x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E2%2B5x-12%29%2F%282x%5E2-7x%2B6%29%29%2F%28%289x%5E2-16%29%2F%283x%5E2-x-4%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E2%2B5x-12%29%2F%282x%5E2-7x%2B6%29%29%2F%28%289x%5E2-16%29%2F%283x%5E2-x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%28x%2B1%29%2F%28x-2%29%283x%2B4%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%28x%2B1%29%2F%28x-2%29%283x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E2%2B5x-12%29%2F%282x%5E2-7x%2B6%29%29%2F%28%289x%5E2-16%29%2F%283x%5E2-x-4%29%29=%28x%2B4%29%28x%2B1%29%2F%28x-2%29%283x%2B4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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