document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152263>Question 152263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you simplify a rational problem like this: 2x^2+6x+4/4x^2-12x-16, whats the answer for this problem?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111918 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=111918\">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=%282x%5E2%2B6x%2B4%29%2F%284x%5E2-12x-16%29 ALIGN=MIDDLE  ALT=\"%282x%5E2%2B6x%2B4%29%2F%284x%5E2-12x-16%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=%282%2A%28x%2B2%29%2A%28x%2B1%29%29%2F%284x%5E2-12x-16%29 ALIGN=MIDDLE  ALT=\"%282%2A%28x%2B2%29%2A%28x%2B1%29%29%2F%284x%5E2-12x-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B6x%2B4 ALIGN=MIDDLE  ALT=\"2x%5E2%2B6x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28x%2B2%29%2A%28x%2B1%29 ALIGN=MIDDLE  ALT=\"2%2A%28x%2B2%29%2A%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=%282%2A%28x%2B2%29%2A%28x%2B1%29%29%2F%282%2A2%2A%28x%2B1%29%2A%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%282%2A%28x%2B2%29%2A%28x%2B1%29%29%2F%282%2A2%2A%28x%2B1%29%2A%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-12x-16 ALIGN=MIDDLE  ALT=\"4x%5E2-12x-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28x%2B1%29%2A%28x-4%29=2%2A2%28x%2B1%29%2A%28x-4%29 ALIGN=MIDDLE  ALT=\"4%2A%28x%2B1%29%2A%28x-4%29=2%2A2%28x%2B1%29%2A%28x-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=%28highlight%282%29%28x%2B2%29highlight%28%28x%2B1%29%29%29%2F%282%2Ahighlight%282%29highlight%28%28x%2B1%29%29%28x-4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%282%29%28x%2B2%29cross%28%28x%2B1%29%29%29%2F%282%2Across%282%29cross%28%28x%2B1%29%29%28x-4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%282%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%282%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%282x-8%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%282x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute. \r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2%2B6x%2B4%29%2F%284x%5E2-12x-16%29 ALIGN=MIDDLE  ALT=\"%282x%5E2%2B6x%2B4%29%2F%284x%5E2-12x-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%282x-8%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%282x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2%2B6x%2B4%29%2F%284x%5E2-12x-16%29=%28x%2B2%29%2F%282x-8%29 ALIGN=MIDDLE  ALT=\"%282x%5E2%2B6x%2B4%29%2F%284x%5E2-12x-16%29=%28x%2B2%29%2F%282x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-1 ALIGN=MIDDLE  ALT=\"x%3C%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E4 ALIGN=MIDDLE  ALT=\"x%3C%3E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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