document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132135>Question 132135</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495188891/algebrahomeworkh>intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 2.  Divide:<BR>\n" );
document.write( "x2 – 9x + 20		÷	x2 – 16<BR>\n" );
document.write( "   3x – 15		           9x + 36\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 #96553 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=96553\">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%28x%5E2-9x%2B20%29%2F%283x-15%29%29%2F%28%28x%5E2-16%29%2F%289x%2B36%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-9x%2B20%29%2F%283x-15%29%29%2F%28%28x%5E2-16%29%2F%289x%2B36%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%28x%5E2-9x%2B20%29%2F%283x-15%29%29%2A%28%289x%2B36%29%2F%28x%5E2-16%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-9x%2B20%29%2F%283x-15%29%29%2A%28%289x%2B36%29%2F%28x%5E2-16%29%29\"   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-5%29%28x-4%29%29%2F%283x-15%29%29%28%289x%2B36%29%2F%28x%5E2-16%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28x-5%29%28x-4%29%29%2F%283x-15%29%29%28%289x%2B36%29%2F%28x%5E2-16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9x%2B20 ALIGN=MIDDLE  ALT=\"x%5E2-9x%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%28x-4%29 ALIGN=MIDDLE  ALT=\"%28x-5%29%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=%28%28%28x-5%29%28x-4%29%29%2F%283%28x-5%29%29%29%28%289x%2B36%29%2F%28x%5E2-16%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28x-5%29%28x-4%29%29%2F%283%28x-5%29%29%29%28%289x%2B36%29%2F%28x%5E2-16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-15 ALIGN=MIDDLE  ALT=\"3x-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x-5%29 ALIGN=MIDDLE  ALT=\"3%28x-5%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-5%29%28x-4%29%29%2F%283%28x-5%29%29%29%28%289%28x%2B4%29%29%2F%28x%5E2-16%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28x-5%29%28x-4%29%29%2F%283%28x-5%29%29%29%28%289%28x%2B4%29%29%2F%28x%5E2-16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2B36 ALIGN=MIDDLE  ALT=\"9x%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28x%2B4%29 ALIGN=MIDDLE  ALT=\"9%28x%2B4%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-5%29%28x-4%29%29%2F%283%28x-5%29%29%29%28%289%28x%2B4%29%29%2F%28%28x%2B4%29%28x-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=x%5E2-16 ALIGN=MIDDLE  ALT=\"x%5E2-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%28x-4%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%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=%28x-5%29%28x-4%299%28x%2B4%29%2F3%28x-5%29%28x%2B4%29%28x-4%29 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x-4%299%28x%2B4%29%2F3%28x-5%29%28x%2B4%29%28x-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=cross%28x-5%29cross%28x-4%299cross%28x%2B4%29%2F3cross%28x-5%29cross%28x%2B4%29cross%28x-4%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=9%2F3 ALIGN=MIDDLE  ALT=\"9%2F3\"   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=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\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%28x%5E2-9x%2B20%29%2F%283x-15%29%29%2F%28%28x%5E2-16%29%2F%289x%2B36%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-9x%2B20%29%2F%283x-15%29%29%2F%28%28x%5E2-16%29%2F%289x%2B36%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2-9x%2B20%29%2F%283x-15%29%29%2F%28%28x%5E2-16%29%2F%289x%2B36%29%29=3 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-9x%2B20%29%2F%283x-15%29%29%2F%28%28x%5E2-16%29%2F%289x%2B36%29%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-4 ALIGN=MIDDLE  ALT=\"x%3C%3E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <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;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E5 ALIGN=MIDDLE  ALT=\"x%3C%3E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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