document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151484>Question 1151484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HOW TO FACTOR THIS?<BR>\n" );
document.write( "4x^4y^2+9x^2y^4+12x^3y^3+16x^2y+24xy^2+16 <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #773265 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=773265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I plugged it into Wolfram Alpha and got\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%5E4y%5E2%2B9x%5E2y%5E4%2B12x%5E3y%5E3%2B16x%5E2y%2B24xy%5E2%2B16+ ALIGN=MIDDLE  ALT=\"+4x%5E4y%5E2%2B9x%5E2y%5E4%2B12x%5E3y%5E3%2B16x%5E2y%2B24xy%5E2%2B16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28%282x%5E2y%2B3xy%5E2%2B4%29%5E2%29+ ALIGN=MIDDLE  ALT=\"+highlight%28%282x%5E2y%2B3xy%5E2%2B4%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "The only approach I can see to factoring it w/o computer help is to assume<BR>\n" );
document.write( "it is a square  ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E4y%5E2+=+%282x%5E2y%29%5E2 ALIGN=MIDDLE  ALT=\"4x%5E4y%5E2+=+%282x%5E2y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+=+4%5E2 ALIGN=MIDDLE  ALT=\"16+=+4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the hints) and then write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x%5E2y+%2B+kx%5Ea%2Ay%5Eb+%2B+4%29%5E2+=++4x%5E4y%5E2%2B4kx%5E%28a%2B2%29y%5E%28b%2B1%29%2B16x%5E2y+%2B+k%5E2x%5E%282a%29y%5E%282b%29%2B8kx%5Ea%2Ay%5Eb+%2B+16+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Then by comparison of this last expression to the original, a=1,b=2,k=3.\r<BR>\n" );
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