document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112672>Question 112672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the products.\r<BR>\n" );
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document.write( "a(a+5)(a-5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82172 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=82172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28a%2B5%29%28a-5%29 ALIGN=MIDDLE  ALT=\"a%28a%2B5%29%28a-5%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=%28a%5E2%2B5a%29%28a-5%29 ALIGN=MIDDLE  ALT=\"%28a%5E2%2B5a%29%28a-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\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( "Multiply the First terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2%29%2A%28a%29=a%5E3 ALIGN=MIDDLE  ALT=\"%28a%5E2%29%2A%28a%29=a%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply the Outer terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2%29%2A%28-5%29=-5a%5E2 ALIGN=MIDDLE  ALT=\"%28a%5E2%29%2A%28-5%29=-5a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply the Inner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285a%29%2A%28a%29=5a%5E2 ALIGN=MIDDLE  ALT=\"%285a%29%2A%28a%29=5a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply the Last terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285a%29%2A%28-5%29=-25a ALIGN=MIDDLE  ALT=\"%285a%29%2A%28-5%29=-25a\"   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=a%5E3-5a%5E2%2B5a%5E2-25a ALIGN=MIDDLE  ALT=\"a%5E3-5a%5E2%2B5a%5E2-25a\"   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=a%5E3-25a ALIGN=MIDDLE  ALT=\"a%5E3-25a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2%2B5a%29%28a-5%29 ALIGN=MIDDLE  ALT=\"%28a%5E2%2B5a%29%28a-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > foils and simplifies to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3-25a ALIGN=MIDDLE  ALT=\"a%5E3-25a\"   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=%28a%5E2%2B5a%29%28a-5%29=a%5E3-25a ALIGN=MIDDLE  ALT=\"%28a%5E2%2B5a%29%28a-5%29=a%5E3-25a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice how  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3-25a ALIGN=MIDDLE  ALT=\"a%5E3-25a\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors back to the original expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2%2B5a%29%28a-5%29 ALIGN=MIDDLE  ALT=\"%28a%5E2%2B5a%29%28a-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (if you need help with factoring, check out this <a  rel=nofollow HREF=\"http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/change-this-name4450.solver\">solver</a>). So this verifies our answer.\r<BR>\n" );
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