document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117015>Question 117015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify completely:<BR>\n" );
document.write( "(x+7)/(x-7)divided by (x^2-49)/(7-x)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85119 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=85119\">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%28x%2B7%29%2F%28x-7%29%29%2F%28%28x%5E2-49%29%2F%287-x%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B7%29%2F%28x-7%29%29%2F%28%28x%5E2-49%29%2F%287-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B7%29%2F%28x-7%29%29%28%287-x%29%2F%28x%5E2-49%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B7%29%2F%28x-7%29%29%28%287-x%29%2F%28x%5E2-49%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by the reciprocal of the second fraction\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B7%29%2F%28x-7%29%29%28%287-x%29%2F%28%28x%2B7%29%28x-7%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B7%29%2F%28x-7%29%29%28%287-x%29%2F%28%28x%2B7%29%28x-7%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-49 ALIGN=MIDDLE  ALT=\"x%5E2-49\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B7%29%28x-7%29 ALIGN=MIDDLE  ALT=\"%28x%2B7%29%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B7%29%287-x%29%2F%28x-7%29%28x%2B7%29%28x-7%29 ALIGN=MIDDLE  ALT=\"%28x%2B7%29%287-x%29%2F%28x-7%29%28x%2B7%29%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28x%2B7%29%28x-7%29%2F%28x-7%29%28x%2B7%29%28x-7%29 ALIGN=MIDDLE  ALT=\"-%28x%2B7%29%28x-7%29%2F%28x-7%29%28x%2B7%29%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor a -1 out of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7-x ALIGN=MIDDLE  ALT=\"7-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%28x-7%29 ALIGN=MIDDLE  ALT=\"-1%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-cross%28%28x%2B7%29%29cross%28%28x-7%29%29%2F%28x-7%29cross%28%28x%2B7%29%29cross%28%28x-7%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F%28x-7%29 ALIGN=MIDDLE  ALT=\"-1%2F%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "--------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B7%29%2F%28x-7%29%29%28%287-x%29%2F%28x%5E2-49%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B7%29%2F%28x-7%29%29%28%287-x%29%2F%28x%5E2-49%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F%28x-7%29 ALIGN=MIDDLE  ALT=\"-1%2F%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B7%29%2F%28x-7%29%29%28%287-x%29%2F%28x%5E2-49%29%29=-1%2F%28x-7%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B7%29%2F%28x-7%29%29%28%287-x%29%2F%28x%5E2-49%29%29=-1%2F%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );