document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185954>Question 185954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> whats the multiplicative inverse of  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2By%5E2%29%2F%28x-y%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2By%5E2%29%2F%28x-y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139427 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20060)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> whats the multiplicative inverse of  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2By%5E2%29%2F%28x-y%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2By%5E2%29%2F%28x-y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "That asks the question:\r<BR>\n" );
document.write( "\n" );
document.write( "What do you have to multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2By%5E2%29%2F%28x-y%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2By%5E2%29%2F%28x-y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by to get 1?\r<BR>\n" );
document.write( "\n" );
document.write( "Answer: You have to multiply it by the reciprocal of itself<BR>\n" );
document.write( "in order to get 1.  So the answer is its reciprocal, namely,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-y%29%2F%28x%5E2%2By%5E2%29 ALIGN=MIDDLE  ALT=\"%28x-y%29%2F%28x%5E2%2By%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "To show why that's the answer, we multiply the original by it\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2By%5E2%29%2F%28x-y%29%29%28%28x-y%29%2F%28x%5E2%2By%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2By%5E2%29%2F%28x-y%29%29%28%28x-y%29%2F%28x%5E2%2By%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "Then we cancel:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28x%5E2%2By%5E2%29%29%2F%28x-y%29%29%28%28x-y%29%2Fcross%28%28x%5E2%2By%5E2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28x%5E2%2By%5E2%29%29%2F%28cross%28x-y%29%29%29%28%28cross%28x-y%29%29%2Fcross%28%28x%5E2%2By%5E2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and that just gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Edwin</pre> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );