document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149749>Question 149749</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073268623/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operation\r<BR>\n" );
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document.write( "	-2a²   20a<BR>\n" );
document.write( "	3a²  &#730;  15a³	<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109857 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=109857\">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=%28%28-2a%5E2%29%2F%283a%5E2%29%29%28%2820a%29%2F%2815a%5E3%29%29 ALIGN=MIDDLE  ALT=\"%28%28-2a%5E2%29%2F%283a%5E2%29%29%28%2820a%29%2F%2815a%5E3%29%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=%28%28-2a%5E2%29%2820a%29%29%2F%28%283a%5E2%29%2815a%5E3%29%29 ALIGN=MIDDLE  ALT=\"%28%28-2a%5E2%29%2820a%29%29%2F%28%283a%5E2%29%2815a%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-40a%5E3%29%2F%2845a%5E5%29 ALIGN=MIDDLE  ALT=\"%28-40a%5E3%29%2F%2845a%5E5%29\"   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=%28-2%2A2%2A2%2A5%2Aa%2Aa%2Aa%29%2F%283%2A3%2A5%2Aa%2Aa%2Aa%2Aa%2Aa%29 ALIGN=MIDDLE  ALT=\"%28-2%2A2%2A2%2A5%2Aa%2Aa%2Aa%29%2F%283%2A3%2A5%2Aa%2Aa%2Aa%2Aa%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand. Remember, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-40a%5E3=-2%2A2%2A2%2A5%2Aa%2Aa%2Aa ALIGN=MIDDLE  ALT=\"-40a%5E3=-2%2A2%2A2%2A5%2Aa%2Aa%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45a%5E5=3%2A3%2A5%2Aa%2Aa%2Aa%2Aa%2Aa ALIGN=MIDDLE  ALT=\"45a%5E5=3%2A3%2A5%2Aa%2Aa%2Aa%2Aa%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=%28-2%2A2%2A2%2Ahighlight%285%29%2Ahighlight%28a%29%2Ahighlight%28a%29%2Ahighlight%28a%29%29%2F%283%2A3%2Ahighlight%285%29%2Ahighlight%28a%29%2Ahighlight%28a%29%2Ahighlight%28a%29%2Aa%2Aa%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%2A2%2A2%2Across%285%29%2Across%28a%29%2Across%28a%29%2Across%28a%29%29%2F%283%2A3%2Across%285%29%2Across%28a%29%2Across%28a%29%2Across%28a%29%2Aa%2Aa%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%2A2%2A2%29%2F%283%2A3%2Aa%2Aa%29 ALIGN=MIDDLE  ALT=\"%28-2%2A2%2A2%29%2F%283%2A3%2Aa%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8%29%2F%289%2Aa%5E2%29 ALIGN=MIDDLE  ALT=\"%28-8%29%2F%289%2Aa%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Regroup.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2a%5E2%29%2F%283a%5E2%29%29%28%2820a%29%2F%2815a%5E3%29%29 ALIGN=MIDDLE  ALT=\"%28%28-2a%5E2%29%2F%283a%5E2%29%29%28%2820a%29%2F%2815a%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8%29%2F%289%2Aa%5E2%29 ALIGN=MIDDLE  ALT=\"%28-8%29%2F%289%2Aa%5E2%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=%28%28-2a%5E2%29%2F%283a%5E2%29%29%28%2820a%29%2F%2815a%5E3%29%29=%28-8%29%2F%289%2Aa%5E2%29 ALIGN=MIDDLE  ALT=\"%28%28-2a%5E2%29%2F%283a%5E2%29%29%28%2820a%29%2F%2815a%5E3%29%29=%28-8%29%2F%289%2Aa%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E0 ALIGN=MIDDLE  ALT=\"a%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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