document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184234>Question 184234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is  an even number? Explain your answer with appropriate examples.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138323 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let n=smaller number<BR>\n" );
document.write( "And n+1=larger number<BR>\n" );
document.write( "ANS=(n+1)^2-n^2=n^2+2n+1-n^2=2n+1<BR>\n" );
document.write( "Since 2n is always even, 2n+1 has to be odd<BR>\n" );
document.write( "The answer is \"no\"<BR>\n" );
document.write( "example<BR>\n" );
document.write( "n=3<BR>\n" );
document.write( "n+1=4<BR>\n" );
document.write( "4^2-3^2=16-9=7 (2*3+1)\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );