document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190550>Question 1190550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor by grouping.\r<BR>\n" );
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document.write( "4 x squared plus 9 x y minus 8 x minus 18 y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822242 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The terms are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9xy ALIGN=MIDDLE  ALT=\"9xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x ALIGN=MIDDLE  ALT=\"-8x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18y ALIGN=MIDDLE  ALT=\"-18y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(1) Pick any two terms that have a common factor and make them a group; make the remaining two terms a second group.  The first two terms have an x in common, so we can group them.  The expressions is then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E2%2B9xy%29%2B%28-8x-18y%29 ALIGN=MIDDLE  ALT=\"%284x%5E2%2B9xy%29%2B%28-8x-18y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Factor the common factor out of the first group of two terms, and factor any common factor out of the other group of two terms:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%284x%2B9y%29%2B%28-2%284x%2B9y%29%29 ALIGN=MIDDLE  ALT=\"x%284x%2B9y%29%2B%28-2%284x%2B9y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The binomial factors from both groups are the same, so the expression can be factored by grouping:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B9xy-8x-18y=x%284x%2B9y%29-2%284x%2B9y%29=%28x-2%29%284x%2B9y%29 ALIGN=MIDDLE  ALT=\"4x%5E2%2B9xy-8x-18y=x%284x%2B9y%29-2%284x%2B9y%29=%28x-2%29%284x%2B9y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Note we can reach the same result by grouping the first and third terms, which have a 4x in common:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B9xy-8x-18y=%284x%5E2-8x%29%2B%289xy-18y%29=4x%28x-2%29%2B9y%28x-2%29=%284x%2B9y%29%28x-2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
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