document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131889>Question 131889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284d%5E2%29%2F%285d%5E2-30d%2B45%29%29%28%285d-15%29%2F%282d%29%29 ALIGN=MIDDLE  ALT=\"%28%284d%5E2%29%2F%285d%5E2-30d%2B45%29%29%28%285d-15%29%2F%282d%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96292 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=96292\">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%284d%5E2%29%2F%285d%5E2-30d%2B45%29%29%28%285d-15%29%2F%282d%29%29 ALIGN=MIDDLE  ALT=\"%28%284d%5E2%29%2F%285d%5E2-30d%2B45%29%29%28%285d-15%29%2F%282d%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%282%2A2%2Ad%2Ad%29%2F%285d%5E2-30d%2B45%29%29%28%285d-15%29%2F%282d%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2A2%2Ad%2Ad%29%2F%285d%5E2-30d%2B45%29%29%28%285d-15%29%2F%282d%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4d%5E2 ALIGN=MIDDLE  ALT=\"4d%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A2%2Ad%2Ad ALIGN=MIDDLE  ALT=\"2%2A2%2Ad%2Ad\"   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%282%2A2%2Ad%2Ad%29%2F%285%28d-3%29%28d-3%29%29%29%28%285d-15%29%2F%282d%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2A2%2Ad%2Ad%29%2F%285%28d-3%29%28d-3%29%29%29%28%285d-15%29%2F%282d%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5d%5E2-30d%2B45 ALIGN=MIDDLE  ALT=\"5d%5E2-30d%2B45\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28d-3%29%28d-3%29 ALIGN=MIDDLE  ALT=\"5%28d-3%29%28d-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%282%2A2%2Ad%2Ad%29%2F%285%28d-3%29%28d-3%29%29%29%28%285%28d-3%29%29%2F%282d%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2A2%2Ad%2Ad%29%2F%285%28d-3%29%28d-3%29%29%29%28%285%28d-3%29%29%2F%282d%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5d-15 ALIGN=MIDDLE  ALT=\"5d-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28d-3%29 ALIGN=MIDDLE  ALT=\"5%28d-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%282%2A2%2Ad%2Ad%29%2F%285%28d-3%29%28d-3%29%29%29%28%285%28d-3%29%29%2F%282%28d%29%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2A2%2Ad%2Ad%29%2F%285%28d-3%29%28d-3%29%29%29%28%285%28d-3%29%29%2F%282%28d%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2d ALIGN=MIDDLE  ALT=\"2d\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28d%29 ALIGN=MIDDLE  ALT=\"2%28d%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%2A2%2Ad%2Ad%295%28d-3%29%2F%285%28d-3%29%28d-3%292%28d%29%29 ALIGN=MIDDLE  ALT=\"%282%2A2%2Ad%2Ad%295%28d-3%29%2F%285%28d-3%29%28d-3%292%28d%29%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=%28cross%282%29%2A2%2Ad%2Across%28d%29%29cross%285%29cross%28%28d-3%29%29%2F%28cross%285%29cross%28%28d-3%29%29%28d-3%29cross%282%29cross%28d%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=%282d%29%2F%28d-3%29 ALIGN=MIDDLE  ALT=\"%282d%29%2F%28d-3%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%284d%5E2%29%2F%285d%5E2-30d%2B45%29%29%28%285d-15%29%2F%282d%29%29 ALIGN=MIDDLE  ALT=\"%28%284d%5E2%29%2F%285d%5E2-30d%2B45%29%29%28%285d-15%29%2F%282d%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2F%28d-3%29 ALIGN=MIDDLE  ALT=\"%282d%29%2F%28d-3%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=%28%284d%5E2%29%2F%285d%5E2-30d%2B45%29%29%28%285d-15%29%2F%282d%29%29=%282d%29%2F%28d-3%29 ALIGN=MIDDLE  ALT=\"%28%284d%5E2%29%2F%285d%5E2-30d%2B45%29%29%28%285d-15%29%2F%282d%29%29=%282d%29%2F%28d-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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