document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=725391>Question 725391</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Simplify and give Restrictions.\r<BR>\n" );
document.write( "\n" );
document.write( "x^2 - y^2 / x^2 + 3xy + 2y^2\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you for your help! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444590 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=444590\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this factors to:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(x-y)(x+y) divided by (x+2y)(x+y)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the (x+y) in the numerator and denominator cancel out and you are left with:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(x-y) divided by (x + 2y)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's the simplified expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the restrictions come from the original equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the original equation is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(x^2 - y^2) divided by (x^2 + 3xy + 2y^2) which factored out to be:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(x - y) * (x + y) divided by (x + y) * (x + 2y)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since the denominator can't be equal to 0, then the following restrictions apply.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x cannot be equal to -y, otherwise (x + y) will be equal to 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x cannot be equal to -2y, otherwise (x + 2y) will be equal to 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );