document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=222637>Question 222637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Banging my head on desk. Please help\r<BR>\n" );
document.write( "\n" );
document.write( "(3x/(x^2-4)+(3+x)/(x+2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I know that the solution is x^2+4x-6/x^2-1      \r<BR>\n" );
document.write( "\n" );
document.write( "Have no idea how to get there.<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166726 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=166726\">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=%283x%29%2F%28x%5E2-4%29 ALIGN=MIDDLE  ALT=\"%283x%29%2F%28x%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Bx%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%283%2Bx%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The first denominator is \"difference of squares\" factor it <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%2F%28%28x-2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%283x%29%2F%28%28x-2%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Bx%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%283%2Bx%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can see the common denominator is: (x-2)(x+2) so we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283x%29+%2B+%28x-2%29%283%2Bx%29%29%2F%28%28x-2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%283x%29+%2B+%28x-2%29%283%2Bx%29%29%2F%28%28x-2%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283x%29+%2B+%283x+%2B+x%5E2+-+6+-2x%29%29%2F%28%28x-2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%283x%29+%2B+%283x+%2B+x%5E2+-+6+-2x%29%29%2F%28%28x-2%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "group like terms and combine<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2+%2B+3x+%2B+3x+-+2x+-+6%29%29%2F%28%28x-2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2+%2B+3x+%2B+3x+-+2x+-+6%29%29%2F%28%28x-2%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2+%2B+4x+-+6%29%29%2F%28%28x-2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2+%2B+4x+-+6%29%29%2F%28%28x-2%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Foil the denominator to get the original denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2+%2B+4x+-+6%29%29%2F%28x%5E2-4%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2+%2B+4x+-+6%29%29%2F%28x%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );