document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=624091>Question 624091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I express as a single fraction in its simplest form:<BR>\n" );
document.write( "   <BR>\n" );
document.write( "    1                              1<BR>\n" );
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document.write( "  2x +3              4xsquared - 9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #392531 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=392531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> express as a single fraction in its simplest form:\r<BR>\n" );
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document.write( "1 1<BR>\n" );
document.write( "----- - -----<BR>\n" );
document.write( "2x +3 4xsquared - 9<BR>\n" );
document.write( "assume the problem is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%282x%2B3%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%282x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%284x%5E2-9%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%284x%5E2-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "note that the 2nd denominator is the \"difference of squares which we can factor\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%282x%2B3%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%282x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%282x%2B3%29%282x-3%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%282x%2B3%29%282x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you can see the common denominator will be (2x+3)(2x-3), so we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x-3%29-1%29%2F%28%282x-3%29%282x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%282x-3%29-1%29%2F%28%282x-3%29%282x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x-4%29%29%2F%28%282x-3%29%282x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%282x-4%29%29%2F%28%282x-3%29%282x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28x-2%29%29%2F%28%282x-3%29%282x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%282%28x-2%29%29%2F%28%282x-3%29%282x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28x-2%29%29%2F%28%284x%5E2-9%29%29 ALIGN=MIDDLE  ALT=\"%282%28x-2%29%29%2F%28%284x%5E2-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );