document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103626>Question 103626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please provide the simplified results\r<BR>\n" );
document.write( "\n" );
document.write( "     5x - 5y          ÷      5x - 10y                 <BR>\n" );
document.write( "   x2 + 6xy - 16y2        x2 + 10xy + 16y2        <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75345 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=75345\">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%285x-5y%29%2F%28x%5E2%2B6xy-16y%5E2%29%29%2F%28%285x+-+10y%29%2F%28x%5E2+%2B+10xy+%2B+16y%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285x-5y%29%2F%28x%5E2%2B6xy-16y%5E2%29%29%2A%28%28x%5E2+%2B+10xy+%2B+16y%5E2%29%2F%285x+-+10y%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" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%28x-y%29%2F%28x%5E2%2B6xy-16y%5E2%29%29%2A%28%28x%5E2+%2B+10xy+%2B+16y%5E2%29%2F%285x+-+10y%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out 5 out of the first numerator\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%28x-y%29%2F%28x%2B8y%29%28x-2y%29%29%2A%28%28x%5E2+%2B+10xy+%2B+16y%5E2%29%2F%285x+-+10y%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first denominator\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%28x-y%29%2F%28x%2B8y%29%28x-2y%29%29%2A%28%28x%2B8y%29%28x%2B2y%29%2F%285x+-+10y%29%29 ALIGN=MIDDLE  ALT=\"%285%28x-y%29%2F%28x%2B8y%29%28x-2y%29%29%2A%28%28x%2B8y%29%28x%2B2y%29%2F%285x+-+10y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the second numerator\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%28x-y%29%2F%28x%2B8y%29%28x-2y%29%29%2A%28%28x%2B8y%29%28x%2B2y%29%2F5%28x+-+2y%29%29 ALIGN=MIDDLE  ALT=\"%285%28x-y%29%2F%28x%2B8y%29%28x-2y%29%29%2A%28%28x%2B8y%29%28x%2B2y%29%2F5%28x+-+2y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the second denominator\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%285%29%28x-y%29%2Fcross%28%28x%2B8y%29%29%28x-2y%29%29%2A%28cross%28%28x%2B8y%29%29%28x%2B2y%29%2Fcross%285%29%28x+-+2y%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out like terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-y%29%2F%28x-2y%29%29%2A%28%28x%2B2y%29%2F%28x+-+2y%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-y%29%2F%28x-2y%29%29%2A%28%28x%2B2y%29%2F%28x+-+2y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-y%29%28x%2B2y%29%2F%28x-2y%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-y%29%28x%2B2y%29%2F%28x-2y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the two fractions  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );