document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131915>Question 131915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%2Bp%29%28s%5E2-sp%2Bp%5E2%29 ALIGN=MIDDLE  ALT=\"%28s%2Bp%29%28s%5E2-sp%2Bp%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96310 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=96310\">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=%28s%2Bp%29%28s%5E2-sp%2Bp%5E2%29 ALIGN=MIDDLE  ALT=\"%28s%2Bp%29%28s%5E2-sp%2Bp%5E2%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=s%28s%5E2-sp%2Bp%5E2%29%2Bp%28s%5E2-sp%2Bp%5E2%29 ALIGN=MIDDLE  ALT=\"s%28s%5E2-sp%2Bp%5E2%29%2Bp%28s%5E2-sp%2Bp%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand the expression. Remember something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%28c%2Bd%2Be%29 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%28c%2Bd%2Be%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > expands to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29 ALIGN=MIDDLE  ALT=\"a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%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=%28s%29%2A%28s%5E2%29%2B%28s%29%2A%28-sp%29%2B%28s%29%2A%28p%5E2%29%2B%28p%29%2A%28s%5E2%29%2B%28p%29%2A%28-sp%29%2B%28p%29%2A%28p%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=s%5E3-s%5E2p%2Bsp%5E2%2Bps%5E2-p%5E2s%2Bp%5E3 ALIGN=MIDDLE  ALT=\"s%5E3-s%5E2p%2Bsp%5E2%2Bps%5E2-p%5E2s%2Bp%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E3%2Bps%5E2-ps%5E2%2Bp%5E2s-p%5E2s%2Bp%5E3 ALIGN=MIDDLE  ALT=\"s%5E3%2Bps%5E2-ps%5E2%2Bp%5E2s-p%5E2s%2Bp%5E3\"   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=s%5E3%2Bcross%28ps%5E2-ps%5E2%29%2Bcross%28p%5E2s-p%5E2s%29%2Bp%5E3 ALIGN=MIDDLE  ALT=\"s%5E3%2Bcross%28ps%5E2-ps%5E2%29%2Bcross%28p%5E2s-p%5E2s%29%2Bp%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms. Notice how the inner terms cancel out\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E3%2Bp%5E3 ALIGN=MIDDLE  ALT=\"s%5E3%2Bp%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify \r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%2Bp%29%28s%5E2-sp%2Bp%5E2%29 ALIGN=MIDDLE  ALT=\"%28s%2Bp%29%28s%5E2-sp%2Bp%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > expands and simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E3%2Bp%5E3 ALIGN=MIDDLE  ALT=\"s%5E3%2Bp%5E3\"   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=%28s%2Bp%29%28s%5E2-sp%2Bp%5E2%29=s%5E3%2Bp%5E3 ALIGN=MIDDLE  ALT=\"%28s%2Bp%29%28s%5E2-sp%2Bp%5E2%29=s%5E3%2Bp%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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