document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=307083>Question 307083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If m + n is an odd number when m and n are positive integers, which expression always represents an even number?\r<BR>\n" );
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document.write( "(A)  m - n<BR>\n" );
document.write( "(B)  m^2 + n^2<BR>\n" );
document.write( "(C)  (m + n )^2<BR>\n" );
document.write( "(D)  m^2 - n^2<BR>\n" );
document.write( "(E)  (mn)^2<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 #219691 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=219691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If m+n is an odd number, then one of the numbers must be even and the other must be odd.  Now, if you take the product of this even and odd number, you ALWAYS get an even number!  The square of this even number will always be an even number, so the correct answer is E.  All of the other choices will always give you an odd number.\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida<BR>\n" );
document.write( "Altamonte Springs Campus </SPAN>\n" );
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