document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=116927>Question 116927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide.  Simplify if possible \r<BR>\n" );
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document.write( "(21x^2-20xy+4y^2/28^2+27xy-10y^2) divided by (15x^2-19xy+6y^2/10x^2+9xy-9y^2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85120 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=85120\">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%2821x%5E2-20xy%2B4y%5E2%29%2F%2828x%5E2%2B27xy-10y%5E2%29%29%2F%28%2815x%5E2-19xy%2B6y%5E2%29%2F%2810x%5E2%2B9xy-9y%5E2%29%29 ALIGN=MIDDLE   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%2821x%5E2-20xy%2B4y%5E2%29%2F%2828x%5E2%2B27xy-10y%5E2%29%29%28%2810x%5E2%2B9xy-9y%5E2%29%2F%2815x%5E2-19xy%2B6y%5E2%29%29 ALIGN=MIDDLE   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%283x-2y%29%287x-2y%29%29%2F%2828x%5E2%2B27xy-10y%5E2%29%29%28%2810x%5E2%2B9xy-9y%5E2%29%2F%2815x%5E2-19xy%2B6y%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21x%5E2-20xy%2B4y%5E2 ALIGN=MIDDLE  ALT=\"21x%5E2-20xy%2B4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-2y%29%287x-2y%29 ALIGN=MIDDLE  ALT=\"%283x-2y%29%287x-2y%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%283x-2y%29%287x-2y%29%29%2F%28%284x%2B5y%29%287x-2y%29%29%29%28%2810x%5E2%2B9xy-9y%5E2%29%2F%2815x%5E2-19xy%2B6y%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28x%5E2%2B27xy-10y%5E2 ALIGN=MIDDLE  ALT=\"28x%5E2%2B27xy-10y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%2B5y%29%287x-2y%29 ALIGN=MIDDLE  ALT=\"%284x%2B5y%29%287x-2y%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%283x-2y%29%287x-2y%29%29%2F%28%284x%2B5y%29%287x-2y%29%29%29%28%28%282x%2B3y%29%285x-3y%29%29%2F%2815x%5E2-19xy%2B6y%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%5E2%2B9xy-9y%5E2 ALIGN=MIDDLE  ALT=\"10x%5E2%2B9xy-9y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B3y%29%285x-3y%29 ALIGN=MIDDLE  ALT=\"%282x%2B3y%29%285x-3y%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%283x-2y%29%287x-2y%29%29%2F%28%284x%2B5y%29%287x-2y%29%29%29%28%28%282x%2B3y%29%285x-3y%29%29%2F%28%283x-2y%29%285x-3y%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=15x%5E2-19xy%2B6y%5E2 ALIGN=MIDDLE  ALT=\"15x%5E2-19xy%2B6y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-2y%29%285x-3y%29 ALIGN=MIDDLE  ALT=\"%283x-2y%29%285x-3y%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=%283x-2y%29%287x-2y%29%282x%2B3y%29%285x-3y%29%2F%284x%2B5y%29%287x-2y%29%283x-2y%29%285x-3y%29 ALIGN=MIDDLE   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%28%283x-2y%29%29cross%28%287x-2y%29%29%282x%2B3y%29cross%28%285x-3y%29%29%2F%284x%2B5y%29cross%28%287x-2y%29%29cross%28%283x-2y%29%29cross%28%285x-3y%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=%282x%2B3y%29%2F%284x%2B5y%29 ALIGN=MIDDLE  ALT=\"%282x%2B3y%29%2F%284x%2B5y%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%2821x%5E2-20xy%2B4y%5E2%29%2F%2828x%5E2%2B27xy-10y%5E2%29%29%28%2810x%5E2%2B9xy-9y%5E2%29%2F%2815x%5E2-19xy%2B6y%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B3y%29%2F%284x%2B5y%29 ALIGN=MIDDLE  ALT=\"%282x%2B3y%29%2F%284x%2B5y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2821x%5E2-20xy%2B4y%5E2%29%2F%2828x%5E2%2B27xy-10y%5E2%29%29%28%2810x%5E2%2B9xy-9y%5E2%29%2F%2815x%5E2-19xy%2B6y%5E2%29%29=%282x%2B3y%29%2F%284x%2B5y%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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