document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26071>Question 26071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 16x^2+72xy+81y^2\r<BR>\n" );
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document.write( "facotor each plynomial completely </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14000 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=14000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Notice that the first term<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x%5E2 ALIGN=MIDDLE  ALT=\"16x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the last term<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81y%5E2 ALIGN=MIDDLE  ALT=\"81y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > are both perfect squares: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%5E2 ALIGN=MIDDLE  ALT=\"%284x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289y%29%5E2 ALIGN=MIDDLE  ALT=\"%289y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > respectivley. This would suggest trying the following:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x+%2B+9y%29%284x+%2B+9y%29 ALIGN=MIDDLE  ALT=\"%284x+%2B+9y%29%284x+%2B+9y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the factors.\r<BR>\n" );
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document.write( "Check using FOIL.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x+%2B+9y%29%284x+%2B+9y%29+=+16x%5E2+%2B+36xy+%2B+36xy+%2B+81y%5E2 ALIGN=MIDDLE  ALT=\"%284x+%2B+9y%29%284x+%2B+9y%29+=+16x%5E2+%2B+36xy+%2B+36xy+%2B+81y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x%5E2+%2B+72xy+%2B+81y%5E2 ALIGN=MIDDLE  ALT=\"16x%5E2+%2B+72xy+%2B+81y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The factors are: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x+%2B+9y%29%284x+%2B+9y%29+=+%284x+%2B+9y%29%5E2 ALIGN=MIDDLE  ALT=\"%284x+%2B+9y%29%284x+%2B+9y%29+=+%284x+%2B+9y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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