document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170429>Question 170429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Expand and if necessary simplify questions:<BR>\n" );
document.write( "a. (2a-1)^2<BR>\n" );
document.write( "b. (x+11)(x-4)<BR>\n" );
document.write( "c. (2x-3)(4x-7) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125827 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=125827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first two to get you started\r<BR>\n" );
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document.write( "# 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282a-1%29%5E2 ALIGN=MIDDLE  ALT=\"%282a-1%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=%282a-1%29%282a-1%29 ALIGN=MIDDLE  ALT=\"%282a-1%29%282a-1%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%282a%29-1%29%28highlight%282a%29-1%29 ALIGN=MIDDLE  ALT=\"%28highlight%282a%29-1%29%28highlight%282a%29-1%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=%282%2Aa%29%2A%282%2Aa%29=4%2Aa%5E2 ALIGN=MIDDLE  ALT=\"%282%2Aa%29%2A%282%2Aa%29=4%2Aa%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%282a%29-1%29%282a%2Bhighlight%28-1%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%282a%29-1%29%282a%2Bhighlight%28-1%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=%282%2Aa%29%2A%28-1%29=-2%2Aa ALIGN=MIDDLE  ALT=\"%282%2Aa%29%2A%28-1%29=-2%2Aa\"   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=%282a%2Bhighlight%28-1%29%29%28highlight%282a%29-1%29 ALIGN=MIDDLE  ALT=\"%282a%2Bhighlight%28-1%29%29%28highlight%282a%29-1%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=%28-1%29%2A%282%2Aa%29=-2%2Aa ALIGN=MIDDLE  ALT=\"%28-1%29%2A%282%2Aa%29=-2%2Aa\"   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=%282a%2Bhighlight%28-1%29%29%282a%2Bhighlight%28-1%29%29 ALIGN=MIDDLE  ALT=\"%282a%2Bhighlight%28-1%29%29%282a%2Bhighlight%28-1%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=%28-1%29%2A%28-1%29=1 ALIGN=MIDDLE  ALT=\"%28-1%29%2A%28-1%29=1\"   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=4%2Aa%5E2-2%2Aa-2%2Aa%2B1 ALIGN=MIDDLE  ALT=\"4%2Aa%5E2-2%2Aa-2%2Aa%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now collect every term 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=4%2Aa%5E2-4%2Aa%2B1 ALIGN=MIDDLE  ALT=\"4%2Aa%5E2-4%2Aa%2B1\"   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=%282a-1%29%5E2 ALIGN=MIDDLE  ALT=\"%282a-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Aa%5E2-4%2Aa%2B1 ALIGN=MIDDLE  ALT=\"4%2Aa%5E2-4%2Aa%2B1\"   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=%282a-1%29%5E2=4a%5E2-4a%2B1 ALIGN=MIDDLE  ALT=\"%282a-1%29%5E2=4a%5E2-4a%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B11%29%28x-4%29 ALIGN=MIDDLE  ALT=\"%28x%2B11%29%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\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%28x%29%2B11%29%28highlight%28x%29-4%29 ALIGN=MIDDLE  ALT=\"%28highlight%28x%29%2B11%29%28highlight%28x%29-4%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=%28x%29%2A%28x%29=x%5E2 ALIGN=MIDDLE  ALT=\"%28x%29%2A%28x%29=x%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%28x%29%2B11%29%28x%2Bhighlight%28-4%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28x%29%2B11%29%28x%2Bhighlight%28-4%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=%28x%29%2A%28-4%29=-4%2Ax ALIGN=MIDDLE  ALT=\"%28x%29%2A%28-4%29=-4%2Ax\"   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=%28x%2Bhighlight%2811%29%29%28highlight%28x%29-4%29 ALIGN=MIDDLE  ALT=\"%28x%2Bhighlight%2811%29%29%28highlight%28x%29-4%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=%2811%29%2A%28x%29=11%2Ax ALIGN=MIDDLE  ALT=\"%2811%29%2A%28x%29=11%2Ax\"   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=%28x%2Bhighlight%2811%29%29%28x%2Bhighlight%28-4%29%29 ALIGN=MIDDLE  ALT=\"%28x%2Bhighlight%2811%29%29%28x%2Bhighlight%28-4%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=%2811%29%2A%28-4%29=-44 ALIGN=MIDDLE  ALT=\"%2811%29%2A%28-4%29=-44\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "---------------------------------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4%2Ax%2B11%2Ax-44 ALIGN=MIDDLE  ALT=\"x%5E2-4%2Ax%2B11%2Ax-44\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now collect every term 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=x%5E2%2B7%2Ax-44 ALIGN=MIDDLE  ALT=\"x%5E2%2B7%2Ax-44\"   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=%28x%2B11%29%28x-4%29 ALIGN=MIDDLE  ALT=\"%28x%2B11%29%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7%2Ax-44 ALIGN=MIDDLE  ALT=\"x%5E2%2B7%2Ax-44\"   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=%28x%2B11%29%28x-4%29=x%5E2%2B7%2Ax-44 ALIGN=MIDDLE  ALT=\"%28x%2B11%29%28x-4%29=x%5E2%2B7%2Ax-44\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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