document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117491>Question 117491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. I can not figure out how to do these. Thank you in advance!\r<BR>\n" );
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document.write( "Multiply.<BR>\n" );
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document.write( "n squared +5n+4  OVER 2n squared+2n  MULTIPLIED BY  n squared-n-12 OVER n squared-16.\r<BR>\n" );
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document.write( "3pq to the 3rd power OVER 5  DIVIDED BY  9p squared q squared OVER 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85479 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=85479\">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%28n%5E2%2B5n%2B4%29%2F%282n%5E2%2B2n%29%29%28%28n%5E2-n-12%29%2F%28n%5E2-16%29%29 ALIGN=MIDDLE  ALT=\"%28%28n%5E2%2B5n%2B4%29%2F%282n%5E2%2B2n%29%29%28%28n%5E2-n-12%29%2F%28n%5E2-16%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%28n%2B4%29%28n%2B1%29%29%2F%282n%5E2%2B2n%29%29%28%28n%5E2-n-12%29%2F%28n%5E2-16%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B5n%2B4 ALIGN=MIDDLE  ALT=\"n%5E2%2B5n%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B4%29%28n%2B1%29 ALIGN=MIDDLE  ALT=\"%28n%2B4%29%28n%2B1%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%28%28n%2B4%29%28n%2B1%29%29%2F%282n%28n%2B1%29%29%29%28%28n%5E2-n-12%29%2F%28n%5E2-16%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%5E2%2B2n ALIGN=MIDDLE  ALT=\"2n%5E2%2B2n\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%28n%2B1%29 ALIGN=MIDDLE  ALT=\"2n%28n%2B1%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%28%28n%2B4%29%28n%2B1%29%29%2F%282n%28n%2B1%29%29%29%28%28%28n-4%29%28n%2B3%29%29%2F%28n%5E2-16%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2-n-12 ALIGN=MIDDLE  ALT=\"n%5E2-n-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n-4%29%28n%2B3%29 ALIGN=MIDDLE  ALT=\"%28n-4%29%28n%2B3%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%28%28n%2B4%29%28n%2B1%29%29%2F%282n%28n%2B1%29%29%29%28%28%28n-4%29%28n%2B3%29%29%2F%28%28n%2B4%29%28n-4%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2-16 ALIGN=MIDDLE  ALT=\"n%5E2-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B4%29%28n-4%29 ALIGN=MIDDLE  ALT=\"%28n%2B4%29%28n-4%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=%28n%2B4%29%28n%2B1%29%28n-4%29%28n%2B3%29%2F2n%28n%2B1%29%28n%2B4%29%28n-4%29 ALIGN=MIDDLE  ALT=\"%28n%2B4%29%28n%2B1%29%28n-4%29%28n%2B3%29%2F2n%28n%2B1%29%28n%2B4%29%28n-4%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=cross%28%28n%2B4%29%29cross%28%28n%2B1%29%29cross%28%28n%2B4%29%29%28n%2B3%29%2F%282n%29cross%28%28n%2B1%29%29cross%28%28n%2B4%29%29cross%28%28n-4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B3%29%2F%282n%29 ALIGN=MIDDLE  ALT=\"%28n%2B3%29%2F%282n%29\"   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=%28%28n%5E2%2B5n%2B4%29%2F%282n%5E2%2B2n%29%29%28%28n%5E2-n-12%29%2F%28n%5E2-16%29%29 ALIGN=MIDDLE  ALT=\"%28%28n%5E2%2B5n%2B4%29%2F%282n%5E2%2B2n%29%29%28%28n%5E2-n-12%29%2F%28n%5E2-16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B3%29%2F%282n%29 ALIGN=MIDDLE  ALT=\"%28n%2B3%29%2F%282n%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%28n%5E2%2B5n%2B4%29%2F%282n%5E2%2B2n%29%29%28%28n%5E2-n-12%29%2F%28n%5E2-16%29%29=%28n%2B3%29%2F%282n%29 ALIGN=MIDDLE   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=%283pq%5E3%2F5%29%2F%289p%5E2q%5E2%2F10%29 ALIGN=MIDDLE  ALT=\"%283pq%5E3%2F5%29%2F%289p%5E2q%5E2%2F10%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=%2830pq%5E3%2F45p%5E2q%5E2%29 ALIGN=MIDDLE  ALT=\"%2830pq%5E3%2F45p%5E2q%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions by multiplying\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E%281-2%29q%5E%283-2%29 ALIGN=MIDDLE  ALT=\"p%5E%281-2%29q%5E%283-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Remember when you divide monomials, you subtract their corresponding exponents. For instance <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fx%5E3=x%5E%282-3%29=x%5E-1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fx%5E3=x%5E%282-3%29=x%5E-1\"   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=%282%2F3%29p%5E-1q%5E1 ALIGN=MIDDLE  ALT=\"%282%2F3%29p%5E-1q%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.  Remember to reduce the coefficients (which are numbers in front of the variables) to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F45=2%2F3 ALIGN=MIDDLE  ALT=\"30%2F45=2%2F3\"   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=%282%2F3%29%281%2Fp%29q ALIGN=MIDDLE  ALT=\"%282%2F3%29%281%2Fp%29q\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E-1 ALIGN=MIDDLE  ALT=\"p%5E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fp ALIGN=MIDDLE  ALT=\"1%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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=%283pq%5E3%2F5%29%2F%289p%5E2q%5E2%2F10%29 ALIGN=MIDDLE  ALT=\"%283pq%5E3%2F5%29%2F%289p%5E2q%5E2%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%281%2Fp%29q ALIGN=MIDDLE  ALT=\"%282%2F3%29%281%2Fp%29q\"   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=%283pq%5E3%2F5%29%2F%289p%5E2q%5E2%2F10%29=%282%2F3%29%281%2Fp%29q ALIGN=MIDDLE  ALT=\"%283pq%5E3%2F5%29%2F%289p%5E2q%5E2%2F10%29=%282%2F3%29%281%2Fp%29q\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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