document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008308>Question 1008308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the complex fraction completely:  (9 - m^2 n^-2) ÷  (3 - m^1 n^-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624073 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=624073\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the \"fraction bar\" in place of the division operator,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289-m%5E2n%5E-2%29%2F%283-m%5E1n%5E-1%29 ALIGN=MIDDLE  ALT=\"%289-m%5E2n%5E-2%29%2F%283-m%5E1n%5E-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Changing to all positive exponents,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289-m%5E2%2Fn%5E2%29%2F%283-m%5E1%2Fn%29 ALIGN=MIDDLE  ALT=\"%289-m%5E2%2Fn%5E2%29%2F%283-m%5E1%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplest common denominator is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2Fn%5E2 ALIGN=MIDDLE  ALT=\"n%5E2%2Fn%5E2\"   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%289-m%5E2%2Fn%5E2%29%2F%283-m%5E1%2Fn%29%29%28n%5E2%2Fn%5E2%29 ALIGN=MIDDLE  ALT=\"%28%289-m%5E2%2Fn%5E2%29%2F%283-m%5E1%2Fn%29%29%28n%5E2%2Fn%5E2%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=highlight%28%289n%5E2-m%5E2%29%2F%283n%5E2-mn%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%289n%5E2-m%5E2%29%2F%283n%5E2-mn%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----THIS is the best final result.\r<BR>\n" );
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document.write( "There might be one further step, but reducing the fractional expression could change some of its meaning.\r<BR>\n" );
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document.write( "---<BR>\n" );
document.write( "Possible next steps,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283n-m%29%283n%2Bm%29%29%2F%28n%283n-m%29%29 ALIGN=MIDDLE  ALT=\"%28%283n-m%29%283n%2Bm%29%29%2F%28n%283n-m%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%283n-m%29%29%283n%2Bm%29%29%2F%28n%2Across%28%283n-m%29%29%29 ALIGN=MIDDLE  ALT=\"%28cross%28%283n-m%29%29%283n%2Bm%29%29%2F%28n%2Across%28%283n-m%29%29%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=highlight_green%28%283n%2Bm%29%2Fn%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%283n%2Bm%29%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------but like said already, this changes the meaning of the expression. </SPAN>\n" );
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