document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192455>Question 192455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help factoring this polynomial. Thanks<BR>\n" );
document.write( "9x^2 + 4 y^2= . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144490 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=144490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B4y%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2%2B4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is not factorable into rational factors.<BR>\n" );
document.write( "The only way that you can factor this is with irrational factors:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B4y%5E2+=+%283x-2yi%29%283x%2B2yi%29 ALIGN=MIDDLE  ALT=\"9x%5E2%2B4y%5E2+=+%283x-2yi%29%283x%2B2yi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i+=+sqrt%28-1%29 ALIGN=MIDDLE  ALT=\"i+=+sqrt%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To see this, multiply the two factors given above using the FOIL method:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-2yi%29%283x%2B2yi%29+=+9x%5E2%2B6xyi-6xyi-4y%5E2i%5E2 ALIGN=MIDDLE  ALT=\"%283x-2yi%29%283x%2B2yi%29+=+9x%5E2%2B6xyi-6xyi-4y%5E2i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2+=+-1 ALIGN=MIDDLE  ALT=\"i%5E2+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > so make this substitution...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B6xyi-6xyi-4y%5E2i%5E2+=+9x%5E2%2B4y%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2%2B6xyi-6xyi-4y%5E2i%5E2+=+9x%5E2%2B4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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