document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133259>Question 133259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help trying to solve this. 6x-18/2x^2-5x+3* 4x^2+4x+1/ 6x+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97470 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=97470\">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%286x-18%29%2F%282x%5E2-5x%2B3%29%29%28%284x%5E2%2B4x%2B1%29%2F%286x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%286x-18%29%2F%282x%5E2-5x%2B3%29%29%28%284x%5E2%2B4x%2B1%29%2F%286x%2B3%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%28%282%2A3%29%28x-3%29%29%2F%282x%5E2-5x%2B3%29%29%28%284x%5E2%2B4x%2B1%29%2F%286x%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-18 ALIGN=MIDDLE  ALT=\"6x-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28x-3%29 ALIGN=MIDDLE  ALT=\"6%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and factor 6 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2A3%29 ALIGN=MIDDLE  ALT=\"%282%2A3%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%282%2A3%29%28x-3%29%29%2F%28%282x-3%29%28x-1%29%29%29%28%284x%5E2%2B4x%2B1%29%2F%286x%2B3%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%5E2-5x%2B3 ALIGN=MIDDLE  ALT=\"2x%5E2-5x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-3%29%28x-1%29 ALIGN=MIDDLE  ALT=\"%282x-3%29%28x-1%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%282%2A3%29%28x-3%29%29%2F%28%282x-3%29%28x-1%29%29%29%28%28%282x%2B1%29%282x%2B1%29%29%2F%286x%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B4x%2B1 ALIGN=MIDDLE  ALT=\"4x%5E2%2B4x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%282x%2B1%29 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%282x%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%282%2A3%29%28x-3%29%29%2F%28%282x-3%29%28x-1%29%29%29%28%28%282x%2B1%29%282x%2B1%29%29%2F%283%282x%2B1%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=6x%2B3 ALIGN=MIDDLE  ALT=\"6x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%282x%2B1%29 ALIGN=MIDDLE  ALT=\"3%282x%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=%282%2A3%29%28x-3%29%282x%2B1%29%282x%2B1%29%2F%282x-3%29%28x-1%293%282x%2B1%29 ALIGN=MIDDLE  ALT=\"%282%2A3%29%28x-3%29%282x%2B1%29%282x%2B1%29%2F%282x-3%29%28x-1%293%282x%2B1%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=%282%2Across%283%29%29%28x-3%29cross%28%282x%2B1%29%29%282x%2B1%29%2F%282x-3%29%28x-1%29cross%283%29cross%28%282x%2B1%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=%282%28x-3%29%282x%2B1%29%29%2F%28%282x-3%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%282%28x-3%29%282x%2B1%29%29%2F%28%282x-3%29%28x-1%29%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%286x-18%29%2F%282x%5E2-5x%2B3%29%29%28%284x%5E2%2B4x%2B1%29%2F%286x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%286x-18%29%2F%282x%5E2-5x%2B3%29%29%28%284x%5E2%2B4x%2B1%29%2F%286x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28x-3%29%282x%2B1%29%29%2F%28%282x-3%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%282%28x-3%29%282x%2B1%29%29%2F%28%282x-3%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286x-18%29%2F%282x%5E2-5x%2B3%29%29%28%284x%5E2%2B4x%2B1%29%2F%286x%2B3%29%29=%282%28x-3%29%282x%2B1%29%29%2F%28%282x-3%29%28x-1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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