document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173730>Question 173730</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> x^2n + 2x^n y^n - 3y^2n over x^2n + 5x^n y^n - 6y^2n\r<BR>\n" );
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document.write( "on the expressions. the 2n is the exponent to the x. and on the 2x, then n is the exponent, and it is multiplies with the y^n. It is the same with the next expression<BR>\n" );
document.write( "The directions are just to simplify.<BR>\n" );
document.write( "Thank you! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128589 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=128589\">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=%28x%5E%282n%29+%2B+2%28x%5En%29%28y%5En%29+-+3y%5E%282n%29%29%2F%28+x%5E%282n%29+%2B+5%28x%5En%29%28y%5En%29+-+6y%5E%282n%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This looks like a horror, but it really isn't that bad.\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=x%5En ALIGN=MIDDLE  ALT=\"t=x%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=y%5En ALIGN=MIDDLE  ALT=\"u=y%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > then substitute:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%5E2+%2B+2tu+-+3u%5E2%29%2F%28+t%5E2+%2B+5tu+-+6u%5E2%29 ALIGN=MIDDLE  ALT=\"%28t%5E2+%2B+2tu+-+3u%5E2%29%2F%28+t%5E2+%2B+5tu+-+6u%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now factor both the numerator and the denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t-u%29%28t%2B3u%29%29%2F%28%28t-u%29%28t%2B6u%29%29 ALIGN=MIDDLE  ALT=\"%28%28t-u%29%28t%2B3u%29%29%2F%28%28t-u%29%28t%2B6u%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Eliminate the common factor of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-u ALIGN=MIDDLE  ALT=\"t-u\"   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=%28cross%28%28t-u%29%29%28t%2B3u%29%29%2F%28cross%28%28t-u%29%29%28t%2B6u%29%29 ALIGN=MIDDLE  ALT=\"%28cross%28%28t-u%29%29%28t%2B3u%29%29%2F%28cross%28%28t-u%29%29%28t%2B6u%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then substitute the original expressions for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u ALIGN=MIDDLE  ALT=\"u\"   DISABLED_style= \"max-width:90%; height:auto;\" > back into the expression:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5En%2B3y%5En%29%2F%28x%5En%2B6y%5En%29 ALIGN=MIDDLE  ALT=\"%28x%5En%2B3y%5En%29%2F%28x%5En%2B6y%5En%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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