document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203575>Question 203575</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am in summer school and i was wondering how you would do this problem.. <BR>\n" );
document.write( "The directions are to simplify:<BR>\n" );
document.write( "(xy^7)(x^4y)/(x^5y^2)^2\r<BR>\n" );
document.write( "\n" );
document.write( "and how would i add this equation:\r<BR>\n" );
document.write( "\n" );
document.write( "x-3/x^2+7x+12 + x-5/x^2-16\r<BR>\n" );
document.write( "\n" );
document.write( "please and thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153587 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=153587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The directions are to simplify:<BR>\n" );
document.write( "(xy^7)(x^4y)/(x^5y^2)^2 <BR>\n" );
document.write( "---<BR>\n" );
document.write( "(x^5y^8)/(x^10y^4)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= (y^4)/(x^5)<BR>\n" );
document.write( "===========================\r<BR>\n" );
document.write( "\n" );
document.write( "and how would i add this equation: <BR>\n" );
document.write( "[(x-3)/(x^2+7x+12)] + [(x-5)/(x^2-16)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "[(x-3)/(x+4)(x+3)] + [(x-5)/(x-4)(x+4)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "least common denominator is (x+3)(x-4)(x+4)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Write each fraction over the lcd<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= [(x-3)(x-4)/lcd] + [(x-5)(x+3)/lcd]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Combine the numerators over the lcd:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "[x^2-7x+12+x^2 -2x-15]/lcd<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= [2x^2-9x-3]/[(x+3)(x-4)(x+4)]<BR>\n" );
document.write( "============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );