document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175676>Question 175676</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the Polynomial. <BR>\n" );
document.write( "x^2+6x+9-a^2\r<BR>\n" );
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document.write( "thanks!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130780 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=130780\">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=x%5E2%2B6x%2B9-a%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x%2B9-a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The trick with this one is to recognize that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x%2B9 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a perfect square, namely <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+3%29%5E2 ALIGN=MIDDLE  ALT=\"%28x+%2B+3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "That means that the entire expression is the difference of two squares:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+3%29%5E2-a%5E2 ALIGN=MIDDLE  ALT=\"%28x+%2B+3%29%5E2-a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which can be factored <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x+%2B+3%29+%2B+a%29%28%28x+%2B+3%29+-+a%29 ALIGN=MIDDLE  ALT=\"%28%28x+%2B+3%29+%2B+a%29%28%28x+%2B+3%29+-+a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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