document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190299>Question 190299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi.\r<BR>\n" );
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document.write( "i need some help in performing this indicated operation and simplifying it:\r<BR>\n" );
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document.write( "27a^k - 9a^k+2 + 15a^k+4/3a^k\r<BR>\n" );
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document.write( "thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142853 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=142853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2827a%5Ek+-+9a%5E%28k%2B2%29+%2B+15a%5E%28k%2B4%29%29%2F%283a%5Ek%29 ALIGN=MIDDLE  ALT=\"%2827a%5Ek+-+9a%5E%28k%2B2%29+%2B+15a%5E%28k%2B4%29%29%2F%283a%5Ek%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=%2827a%5Ek+-+9a%5E%28k%2B2%29+%2B+15a%5E%28k%2B4%29%29%2F%283a%5Ek%29 ALIGN=MIDDLE  ALT=\"%2827a%5Ek+-+9a%5E%28k%2B2%29+%2B+15a%5E%28k%2B4%29%29%2F%283a%5Ek%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=%2827a%5Ek+-+9a%5Ek%2Aa%5E2+%2B+15a%5Ek%2Aa%5E4%29%2F%283a%5Ek%29 ALIGN=MIDDLE  ALT=\"%2827a%5Ek+-+9a%5Ek%2Aa%5E2+%2B+15a%5Ek%2Aa%5E4%29%2F%283a%5Ek%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E%28k%2B2%29 ALIGN=MIDDLE  ALT=\"a%5E%28k%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Ek%2Aa%5E2 ALIGN=MIDDLE  ALT=\"a%5Ek%2Aa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E%28k%2B4%29 ALIGN=MIDDLE  ALT=\"a%5E%28k%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Ek%2Aa%5E4 ALIGN=MIDDLE  ALT=\"a%5Ek%2Aa%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28y%2Bz%29=x%5Ey%2Ax%5Ez ALIGN=MIDDLE  ALT=\"x%5E%28y%2Bz%29=x%5Ey%2Ax%5Ez\"   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=%283a%5Ek%2A%289+-+3a%5E2+%2B+5a%5E4%29%29%2F%283a%5Ek%29 ALIGN=MIDDLE  ALT=\"%283a%5Ek%2A%289+-+3a%5E2+%2B+5a%5E4%29%29%2F%283a%5Ek%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a%5Ek ALIGN=MIDDLE  ALT=\"3a%5Ek\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%283a%5Ek%29%289+-+3a%5E2+%2B+5a%5E4%29%29%2F%28highlight%283a%5Ek%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%283a%5Ek%29%289+-+3a%5E2+%2B+5a%5E4%29%29%2F%28highlight%283a%5Ek%29%29\"   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=%28cross%283a%5Ek%29%289+-+3a%5E2+%2B+5a%5E4%29%29%2F%28cross%283a%5Ek%29%29 ALIGN=MIDDLE  ALT=\"%28cross%283a%5Ek%29%289+-+3a%5E2+%2B+5a%5E4%29%29%2F%28cross%283a%5Ek%29%29\"   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=9+-+3a%5E2+%2B+5a%5E4 ALIGN=MIDDLE  ALT=\"9+-+3a%5E2+%2B+5a%5E4\"   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=5a%5E4-3a%5E2%2B9 ALIGN=MIDDLE  ALT=\"5a%5E4-3a%5E2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2827a%5Ek+-+9a%5E%28k%2B2%29+%2B+15a%5E%28k%2B4%29%29%2F%283a%5Ek%29=5a%5E4-3a%5E2%2B9 ALIGN=MIDDLE  ALT=\"%2827a%5Ek+-+9a%5E%28k%2B2%29+%2B+15a%5E%28k%2B4%29%29%2F%283a%5Ek%29=5a%5E4-3a%5E2%2B9\"   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;\" > </SPAN>\n" );
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