document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91370>Question 91370</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>algebra and trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> WORD PROBLEM - SOLVE THE FOLLOWING POLYNOMIAL EQUATION<BR>\n" );
document.write( "Show by counterexample that (x+y)^-2 and x^-2 + y^-2 are not equivalent.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67109 by </B><A HREF=/tutors/aboutme.mpl?userid=mathispowerful><B>mathispowerful(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathispowerful><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=67109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Show by counterexample that (x+y)^-2 and x^-2 + y^-2 are not equivalent.\r<BR>\n" );
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document.write( "let x=1, y=1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E%28-2%29 ALIGN=MIDDLE  ALT=\"%28x%2By%29%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%28-2%29 ALIGN=MIDDLE  ALT=\"2%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-2%29+%2B+y%5E%28-2%29 ALIGN=MIDDLE  ALT=\"x%5E%28-2%29+%2B+y%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E%28-2%29+%2B+1%5E%28-2%29 ALIGN=MIDDLE  ALT=\"1%5E%28-2%29+%2B+1%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1+1 = 2\r<BR>\n" );
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document.write( "apparently they are not equal. </SPAN>\n" );
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