document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91731>Question 91731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factorise:<BR>\n" );
document.write( "#1 a2 + 6ab + 9b2 - 1<BR>\n" );
document.write( "   PLEASE NOTE THAT IN THE QUESTION a AND b ARE NOT MULTIPLYING BY 2, BUT BOTH HAVE SQUARES i.e. (a)square + 6ab + 9(b)square - 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66596 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=66596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factorise:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B6ab%2B9b%5E2-1 ALIGN=MIDDLE  ALT=\"a%5E2%2B6ab%2B9b%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite this as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2%2B6ab%2B9b%5E2%29-1 ALIGN=MIDDLE  ALT=\"%28a%5E2%2B6ab%2B9b%5E2%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factorise the parentheses.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B3b%29%28a%2B3b%29-1 ALIGN=MIDDLE  ALT=\"%28a%2B3b%29%28a%2B3b%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > which can be written as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B3b%29%5E2-1 ALIGN=MIDDLE  ALT=\"%28a%2B3b%29%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you have a difference of two squares which can be factored...oops - factorised thus:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2-B%5E2+=+%28A%2BB%29%28A-B%29 ALIGN=MIDDLE  ALT=\"A%5E2-B%5E2+=+%28A%2BB%29%28A-B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Applying this to your problem,we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B3b%2B1%29%28a%2B3b-1%29 ALIGN=MIDDLE  ALT=\"%28a%2B3b%2B1%29%28a%2B3b-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check the answer by multiplying the two factors.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B3b%2B1%29%28a%2B3b-1%29+=+a%5E2%2B3ab%2Across%28-a%29%2B3ab%2B9b%5E2%2Across%28-3b%29%2Bcross%28a%29%2Bcross%283b%29-1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B3ab%2B3ab%2B9b%5E2-1 ALIGN=MIDDLE  ALT=\"a%5E2%2B3ab%2B3ab%2B9b%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like-terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B6ab%2B9b%5E2-1 ALIGN=MIDDLE  ALT=\"a%5E2%2B6ab%2B9b%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...your original expression. </SPAN>\n" );
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