document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471852>Question 471852</A>: <I><SPAN STYLE=\"word-break: break-all;\"> show the conjecture is false by finding a counterexample.\r<BR>\n" );
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document.write( "the square of the sum of two numbers is equal to the sum of the squares of the two numbers. that is, (a+b)^2  = a^2  + b^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323620 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=323620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Expanding the left hand side, we get a^2 + 2ab + b^2, which is supposedly equal to a^2 + b^2. This implies that 2ab = 0 for all a,b. To obtain a counterexample to this statement, simply choose some nonzero a,b e.g. a = 5, b = -2 and it will contradict the claim. </SPAN>\n" );
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