document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185352>Question 185352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was wondering how I simplify (-36^2-48a)/(18a^3+24a^2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139040 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=139040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming that the expression is really <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-36a%5E2-48a%29%2F%2818a%5E3%2B24a%5E2%29 ALIGN=MIDDLE  ALT=\"%28-36a%5E2-48a%29%2F%2818a%5E3%2B24a%5E2%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=%28-36a%5E2-48a%29%2F%2818a%5E3%2B24a%5E2%29 ALIGN=MIDDLE  ALT=\"%28-36a%5E2-48a%29%2F%2818a%5E3%2B24a%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=%28-6%2A2a%283a%2B4%29%29%2F%2818a%5E3%2B24a%5E2%29 ALIGN=MIDDLE  ALT=\"%28-6%2A2a%283a%2B4%29%29%2F%2818a%5E3%2B24a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-36a%5E2-48a%29 ALIGN=MIDDLE  ALT=\"-36a%5E2-48a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2A2a%283a%2B4%29 ALIGN=MIDDLE  ALT=\"-6%2A2a%283a%2B4%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=%28-6%2A2a%283a%2B4%29%29%2F%286a%2Aa%283a%2B4%29%29 ALIGN=MIDDLE  ALT=\"%28-6%2A2a%283a%2B4%29%29%2F%286a%2Aa%283a%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18a%5E3%2B24a%5E2 ALIGN=MIDDLE  ALT=\"18a%5E3%2B24a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6a%2Aa%283a%2B4%29 ALIGN=MIDDLE  ALT=\"6a%2Aa%283a%2B4%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=%28-highlight%286%29%2A2%2Ahighlight%28a%29%2Ahighlight%28%283a%2B4%29%29%29%2F%28highlight%286%29highlight%28a%29%2Aa%2Ahighlight%28%283a%2B4%29%29%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-cross%286%29%2A2%2Across%28a%29%2Across%28%283a%2B4%29%29%29%2F%28cross%286%29cross%28a%29%2Aa%2Across%28%283a%2B4%29%29%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=-2%2Fa ALIGN=MIDDLE  ALT=\"-2%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\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=%28-36a%5E2-48a%29%2F%2818a%5E3%2B24a%5E2%29 ALIGN=MIDDLE  ALT=\"%28-36a%5E2-48a%29%2F%2818a%5E3%2B24a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2Fa ALIGN=MIDDLE  ALT=\"-2%2Fa\"   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=%28-36a%5E2-48a%29%2F%2818a%5E3%2B24a%5E2%29=-2%2Fa ALIGN=MIDDLE  ALT=\"%28-36a%5E2-48a%29%2F%2818a%5E3%2B24a%5E2%29=-2%2Fa\"   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;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E-4%2F3 ALIGN=MIDDLE  ALT=\"a%3C%3E-4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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