document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083924>Question 1083924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose we are given two functions, say r(x) and s(x).<BR>\n" );
document.write( "a) Is it true that r(x) + s(x) = s(x) + r(x) for all values of x? Why or why not? Give an<BR>\n" );
document.write( "example.<BR>\n" );
document.write( "b)Is it true that r(x) &#8722; s(x) = s(x) &#8722; r(x) for all values of x? Why or why not? Give an<BR>\n" );
document.write( "example.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697990 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=697990\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "let r(x) = 2x^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let s(x) = x^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "r(x) + s(x) = 2x^2 + x^2 = 3x^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "s(x) + r(x) = x^2 +2x^2 = 3x^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "they're the same\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "r(x) - s(x) = 2x^2 - x^2 = x^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "s(x) - r(x) = x^2 - 2x^2 = -x^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "they're different.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this is no different than the rules of arithmetic that state that addition is commutative but subtraction is not.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );