document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63772>Question 63772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me factor completely.  Thanks!\r<BR>\n" );
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document.write( "49r^2+81s^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44457 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=44457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have probably noticed that this the sum of two squares: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49r%5E2+%2B+81s%5E2+=+%287r%29%5E2+%2B+%289s%29%5E2 ALIGN=MIDDLE  ALT=\"49r%5E2+%2B+81s%5E2+=+%287r%29%5E2+%2B+%289s%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The sum of two squares has no rational factors, rather, its factors are complex conjugates:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+%28a%2Bbi%29%28a-bi%29 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+%28a%2Bbi%29%28a-bi%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;\" >, so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49r%5E2+%2B+81s%5E2+=+%287r-9si%29%287r%2B9si%29 ALIGN=MIDDLE  ALT=\"49r%5E2+%2B+81s%5E2+=+%287r-9si%29%287r%2B9si%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;\" > </SPAN>\n" );
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