document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145203>Question 145203</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Simplify the expression:\r<BR>\n" );
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document.write( "( 4 x + 1 ) 2 + (2 x - 4 ) 2\r<BR>\n" );
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document.write( "Choose the correct answer from the following:<BR>\n" );
document.write( "		20x 2 - 8x + 17<BR>\n" );
document.write( "		12x 2 - 8x + 15<BR>\n" );
document.write( "		4x 2 + 8x - 15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105875 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=105875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First FOIL <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+4+x+%2B+1+%29+%5E+2 ALIGN=MIDDLE  ALT=\"%28+4+x+%2B+1+%29+%5E+2\"   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=%282x-4%29%5E2 ALIGN=MIDDLE  ALT=\"%282x-4%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=%284x%2B1%29%284x%2B1%29 ALIGN=MIDDLE  ALT=\"%284x%2B1%29%284x%2B1%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%284x%29%2B1%29%28highlight%284x%29%2B1%29 ALIGN=MIDDLE  ALT=\"%28highlight%284x%29%2B1%29%28highlight%284x%29%2B1%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=%284x%29%2A%284x%29=16x%5E2 ALIGN=MIDDLE  ALT=\"%284x%29%2A%284x%29=16x%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%284x%29%2B1%29%284x%2Bhighlight%281%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%284x%29%2B1%29%284x%2Bhighlight%281%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=%284x%29%2A%281%29=4x ALIGN=MIDDLE  ALT=\"%284x%29%2A%281%29=4x\"   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=%284x%2Bhighlight%281%29%29%28highlight%284x%29%2B1%29 ALIGN=MIDDLE  ALT=\"%284x%2Bhighlight%281%29%29%28highlight%284x%29%2B1%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=%281%29%2A%284x%29=4x ALIGN=MIDDLE  ALT=\"%281%29%2A%284x%29=4x\"   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=%284x%2Bhighlight%281%29%29%284x%2Bhighlight%281%29%29 ALIGN=MIDDLE  ALT=\"%284x%2Bhighlight%281%29%29%284x%2Bhighlight%281%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=%281%29%2A%281%29=1 ALIGN=MIDDLE  ALT=\"%281%29%2A%281%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=16x%5E2%2B4x%2B4x%2B1 ALIGN=MIDDLE  ALT=\"16x%5E2%2B4x%2B4x%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=16x%5E2%2B8x%2B1 ALIGN=MIDDLE  ALT=\"16x%5E2%2B8x%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=%284x%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"%284x%2B1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > foils and simplifies to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x%5E2%2B8x%2B1 ALIGN=MIDDLE  ALT=\"16x%5E2%2B8x%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=%284x%2B1%29%5E2=16x%5E2%2B8x%2B1 ALIGN=MIDDLE  ALT=\"%284x%2B1%29%5E2=16x%5E2%2B8x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's FOIL <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282+x+-+4+%29%5E+2+ ALIGN=MIDDLE  ALT=\"%282+x+-+4+%29%5E+2+\"   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=%282x-4%29%282x-4%29 ALIGN=MIDDLE  ALT=\"%282x-4%29%282x-4%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%282x%29-4%29%28highlight%282x%29-4%29 ALIGN=MIDDLE  ALT=\"%28highlight%282x%29-4%29%28highlight%282x%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=%282x%29%2A%282x%29=4x%5E2 ALIGN=MIDDLE  ALT=\"%282x%29%2A%282x%29=4x%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%282x%29-4%29%282x%2Bhighlight%28-4%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%282x%29-4%29%282x%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=%282x%29%2A%28-4%29=-8x ALIGN=MIDDLE  ALT=\"%282x%29%2A%28-4%29=-8x\"   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=%282x%2Bhighlight%28-4%29%29%28highlight%282x%29-4%29 ALIGN=MIDDLE  ALT=\"%282x%2Bhighlight%28-4%29%29%28highlight%282x%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=%28-4%29%2A%282x%29=-8x ALIGN=MIDDLE  ALT=\"%28-4%29%2A%282x%29=-8x\"   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=%282x%2Bhighlight%28-4%29%29%282x%2Bhighlight%28-4%29%29 ALIGN=MIDDLE  ALT=\"%282x%2Bhighlight%28-4%29%29%282x%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=%28-4%29%2A%28-4%29=16 ALIGN=MIDDLE  ALT=\"%28-4%29%2A%28-4%29=16\"   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=4x%5E2-8x-8x%2B16 ALIGN=MIDDLE  ALT=\"4x%5E2-8x-8x%2B16\"   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=4x%5E2-16x%2B16 ALIGN=MIDDLE  ALT=\"4x%5E2-16x%2B16\"   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=%282x-4%29%5E2 ALIGN=MIDDLE  ALT=\"%282x-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > foils and simplifies to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-16x%2B16 ALIGN=MIDDLE  ALT=\"4x%5E2-16x%2B16\"   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=%282x-4%29%5E2=4x%5E2-16x%2B16 ALIGN=MIDDLE  ALT=\"%282x-4%29%5E2=4x%5E2-16x%2B16\"   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=%28+4+x+%2B+1+%29+%5E+2%2B+%282+x+-+4+%29%5E+2+ ALIGN=MIDDLE  ALT=\"%28+4+x+%2B+1+%29+%5E+2%2B+%282+x+-+4+%29%5E+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > now becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816x%5E2%2B8x%2B1%29%2B%284x%5E2-16x%2B16%29 ALIGN=MIDDLE  ALT=\"%2816x%5E2%2B8x%2B1%29%2B%284x%5E2-16x%2B16%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=%2816x%5E2%2B8x%2B1%29%2B%284x%5E2-16x%2B16%29 ALIGN=MIDDLE  ALT=\"%2816x%5E2%2B8x%2B1%29%2B%284x%5E2-16x%2B16%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=20x%5E2-8x%2B17 ALIGN=MIDDLE  ALT=\"20x%5E2-8x%2B17\"   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=%28+4+x+%2B+1+%29+%5E+2%2B+%282+x+-+4+%29%5E+2=20x%5E2-8x%2B17 ALIGN=MIDDLE  ALT=\"%28+4+x+%2B+1+%29+%5E+2%2B+%282+x+-+4+%29%5E+2=20x%5E2-8x%2B17\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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