document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944523>Question 944523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, good morning. I need help with this math problem.<BR>\n" );
document.write( "It says: \"Simplify: [(2x^-1)+(3y^-1)]/[(9x^2)-(4y^2)]\"<BR>\n" );
document.write( "Could you explain it to me step by step?<BR>\n" );
document.write( "Thank you in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575925 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=575925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  [(2x^-1)+(3y^-1)]/[(9x^2)-(4y^2)]\r<BR>\n" );
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document.write( " ((2x^-1)+(3y^-1))/((9x^2)-(4y^2))\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282y%2B3x%29%2F%28xy%29%29%2F%28%283x-2y%29%283x%2B2y%29%29 ALIGN=MIDDLE  ALT=\"%28%282y%2B3x%29%2F%28xy%29%29%2F%28%283x-2y%29%283x%2B2y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, note an oppurtunity for commutative property of equality in the numerator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%283x%2B2y%29%29%2F%28xy%29%29%2F%28%283x-2y%29cross%28%283x%2B2y%29%29%29 ALIGN=MIDDLE  ALT=\"%28cross%28%283x%2B2y%29%29%2F%28xy%29%29%2F%28%283x-2y%29cross%28%283x%2B2y%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=%281%2F%28xy%29%29%2F%283x-2y%29 ALIGN=MIDDLE  ALT=\"%281%2F%28xy%29%29%2F%283x-2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a complex fraction still, and you can multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28xy%29%2F%28xy%29 ALIGN=MIDDLE  ALT=\"%28xy%29%2F%28xy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%2F%28%28xy%29%283x-2y%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%281%2F%28%28xy%29%283x-2y%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and to finish actually \"simplifying\", do the multiplication indicated in the denominator.\r<BR>\n" );
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document.write( "Other than those, the sequence of steps to take are understandable and should not need  explanation for which to choose in sequence. </SPAN>\n" );
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