document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198861>Question 198861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply (3x+3y)^2(2x+3y) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149345 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=149345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, let's FOIL <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B3y%29%5E2 ALIGN=MIDDLE  ALT=\"%283x%2B3y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B3y%29%5E2 ALIGN=MIDDLE  ALT=\"%283x%2B3y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B3y%29%283x%2B3y%29 ALIGN=MIDDLE  ALT=\"%283x%2B3y%29%283x%2B3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand. Remember something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=x%2Ax ALIGN=MIDDLE  ALT=\"x%5E2=x%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Now let's FOIL the expression.\r<BR>\n" );
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document.write( "Remember, when you FOIL an expression, you follow this procedure:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%283x%29%2B3y%29%28highlight%283x%29%2B3y%29 ALIGN=MIDDLE  ALT=\"%28highlight%283x%29%2B3y%29%28highlight%283x%29%2B3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">F</font>irst terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Ax%29%2A%283%2Ax%29=9%2Ax%5E2 ALIGN=MIDDLE  ALT=\"%283%2Ax%29%2A%283%2Ax%29=9%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%283x%29%2B3y%29%283x%2Bhighlight%283y%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%283x%29%2B3y%29%283x%2Bhighlight%283y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">O</font>uter terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Ax%29%2A%283%2Ay%29=9%2Ax%2Ay ALIGN=MIDDLE  ALT=\"%283%2Ax%29%2A%283%2Ay%29=9%2Ax%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2Bhighlight%283y%29%29%28highlight%283x%29%2B3y%29 ALIGN=MIDDLE  ALT=\"%283x%2Bhighlight%283y%29%29%28highlight%283x%29%2B3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">I</font>nner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Ay%29%2A%283%2Ax%29=9%2Ax%2Ay ALIGN=MIDDLE  ALT=\"%283%2Ay%29%2A%283%2Ax%29=9%2Ax%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2Bhighlight%283y%29%29%283x%2Bhighlight%283y%29%29 ALIGN=MIDDLE  ALT=\"%283x%2Bhighlight%283y%29%29%283x%2Bhighlight%283y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">L</font>ast terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Ay%29%2A%283%2Ay%29=9%2Ay%5E2 ALIGN=MIDDLE  ALT=\"%283%2Ay%29%2A%283%2Ay%29=9%2Ay%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So we have the terms: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ax%5E2 ALIGN=MIDDLE  ALT=\"9%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ax%2Ay ALIGN=MIDDLE  ALT=\"9%2Ax%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ax%2Ay ALIGN=MIDDLE  ALT=\"9%2Ax%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ay%5E2 ALIGN=MIDDLE  ALT=\"9%2Ay%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ax%5E2%2B9%2Ax%2Ay%2B9%2Ax%2Ay%2B9%2Ay%5E2 ALIGN=MIDDLE  ALT=\"9%2Ax%5E2%2B9%2Ax%2Ay%2B9%2Ax%2Ay%2B9%2Ay%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now add every term listed above to make a single expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ax%5E2%2B18%2Ax%2Ay%2B9%2Ay%5E2 ALIGN=MIDDLE  ALT=\"9%2Ax%5E2%2B18%2Ax%2Ay%2B9%2Ay%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B3y%29%5E2 ALIGN=MIDDLE  ALT=\"%283x%2B3y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ax%5E2%2B18%2Ax%2Ay%2B9%2Ay%5E2 ALIGN=MIDDLE  ALT=\"9%2Ax%5E2%2B18%2Ax%2Ay%2B9%2Ay%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B3y%29%5E2=9%2Ax%5E2%2B18%2Ax%2Ay%2B9%2Ay%5E2 ALIGN=MIDDLE  ALT=\"%283x%2B3y%29%5E2=9%2Ax%5E2%2B18%2Ax%2Ay%2B9%2Ay%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B3y%29%5E2%282x%2B3y%29 ALIGN=MIDDLE  ALT=\"%283x%2B3y%29%5E2%282x%2B3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%5E2%2B18xy%2B9y%5E2%29%282x%2B3y%29 ALIGN=MIDDLE  ALT=\"%289x%5E2%2B18xy%2B9y%5E2%29%282x%2B3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%5E2%2B18xy%2B9y%5E2%29%282x%2B3y%29 ALIGN=MIDDLE  ALT=\"%289x%5E2%2B18xy%2B9y%5E2%29%282x%2B3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B3y%29%289x%5E2%2B18xy%2B9y%5E2%29 ALIGN=MIDDLE  ALT=\"%282x%2B3y%29%289x%5E2%2B18xy%2B9y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%289x%5E2%2B18xy%2B9y%5E2%29%2B3y%289x%5E2%2B18xy%2B9y%5E2%29 ALIGN=MIDDLE  ALT=\"2x%289x%5E2%2B18xy%2B9y%5E2%29%2B3y%289x%5E2%2B18xy%2B9y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%289x%5E2%29%2B2x%2818xy%29%2B2x%289y%5E2%29%2B3y%289x%5E2%29%2B3y%2818xy%29%2B3y%289y%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18x%5E3%2B63x%5E2%2Ay%2B72x%2Ay%5E2%2B27y%5E3 ALIGN=MIDDLE  ALT=\"18x%5E3%2B63x%5E2%2Ay%2B72x%2Ay%5E2%2B27y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B3y%29%5E2%2A%282x%2B3y%29=18x%5E3%2B63x%5E2%2Ay%2B72x%2Ay%5E2%2B27y%5E3 ALIGN=MIDDLE  ALT=\"%283x%2B3y%29%5E2%2A%282x%2B3y%29=18x%5E3%2B63x%5E2%2Ay%2B72x%2Ay%5E2%2B27y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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