document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211308>Question 211308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> mulitply and simplify<BR>\n" );
document.write( "(5sqrt7-15sqrt5) (4sqrt7-12 sqrt5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159654 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=159654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2Asqrt%287%29-15%2Asqrt%285%29%29%284%2Asqrt%287%29-12%2Asqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%285%2Asqrt%287%29-15%2Asqrt%285%29%29%284%2Asqrt%287%29-12%2Asqrt%285%29%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%285%2Asqrt%287%29%29-15%2Asqrt%285%29%29%28highlight%284%2Asqrt%287%29%29-12%2Asqrt%285%29%29 ALIGN=MIDDLE   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=%285%2Asqrt%287%29%29%2A%284%2Asqrt%287%29%29=5%2A4%2Asqrt%287%2A7%29=20%2Asqrt%2849%29=20%2A7=140 ALIGN=MIDDLE   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%285%2Asqrt%287%29%29-15%2Asqrt%285%29%29%284%2Asqrt%287%29%2Bhighlight%28-12%2Asqrt%285%29%29%29 ALIGN=MIDDLE   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=%285%2Asqrt%287%29%29%2A%28-12%2Asqrt%285%29%29=-5%2A12%2Asqrt%287%2A5%29=-60%2Asqrt%2835%29 ALIGN=MIDDLE  ALT=\"%285%2Asqrt%287%29%29%2A%28-12%2Asqrt%285%29%29=-5%2A12%2Asqrt%287%2A5%29=-60%2Asqrt%2835%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=%285%2Asqrt%287%29%2Bhighlight%28-15%2Asqrt%285%29%29%29%28highlight%284%2Asqrt%287%29%29-12%2Asqrt%285%29%29 ALIGN=MIDDLE   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=%28-15%2Asqrt%285%29%29%2A%284%2Asqrt%287%29%29=-15%2A4%2Asqrt%285%2A7%29=-60%2Asqrt%2835%29 ALIGN=MIDDLE  ALT=\"%28-15%2Asqrt%285%29%29%2A%284%2Asqrt%287%29%29=-15%2A4%2Asqrt%285%2A7%29=-60%2Asqrt%2835%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=%285%2Asqrt%287%29%2Bhighlight%28-15%2Asqrt%285%29%29%29%284%2Asqrt%287%29%2Bhighlight%28-12%2Asqrt%285%29%29%29 ALIGN=MIDDLE   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=%28-15%2Asqrt%285%29%29%2A%28-12%2Asqrt%285%29%29=-15%2A%28-12%29%2Asqrt%285%2A5%29=180%2Asqrt%2825%29=180%2A5=900 ALIGN=MIDDLE   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=140 ALIGN=MIDDLE  ALT=\"140\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-60%2Asqrt%2835%29 ALIGN=MIDDLE  ALT=\"-60%2Asqrt%2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-60%2Asqrt%2835%29 ALIGN=MIDDLE  ALT=\"-60%2Asqrt%2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900 ALIGN=MIDDLE  ALT=\"900\"   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=140-60%2Asqrt%2835%29-60%2Asqrt%2835%29%2B900 ALIGN=MIDDLE  ALT=\"140-60%2Asqrt%2835%29-60%2Asqrt%2835%29%2B900\"   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=1040-120%2Asqrt%2835%29 ALIGN=MIDDLE  ALT=\"1040-120%2Asqrt%2835%29\"   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=%285%2Asqrt%287%29-15%2Asqrt%285%29%29%284%2Asqrt%287%29-12%2Asqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%285%2Asqrt%287%29-15%2Asqrt%285%29%29%284%2Asqrt%287%29-12%2Asqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1040-120%2Asqrt%2835%29 ALIGN=MIDDLE  ALT=\"1040-120%2Asqrt%2835%29\"   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=%285%2Asqrt%287%29-15%2Asqrt%285%29%29%284%2Asqrt%287%29-12%2Asqrt%285%29%29=1040-120%2Asqrt%2835%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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